Question

0.5(2y + 9) = 0.3 (4y - 6)​

Answer 1

Answer:

0.5(2y + 9) = 0.3(4y + -6)

Reorder the terms:

0.5(9 + 2y) = 0.3(4y + -6)

(9 * 0.5 + 2y * 0.5) = 0.3(4y + -6)

(4.5 + 1y) = 0.3(4y + -6)

Reorder the terms:

4.5 + 1y = 0.3(-6 + 4y)

4.5 + 1y = (-6 * 0.3 + 4y * 0.3)

4.5 + 1y = (-1.8 + 1.2y)

Solving

4.5 + 1y = -1.8 + 1.2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1.2y' to each side of the equation.

4.5 + 1y + -1.2y = -1.8 + 1.2y + -1.2y

Combine like terms: 1y + -1.2y = -0.2y

4.5 + -0.2y = -1.8 + 1.2y + -1.2y

Combine like terms: 1.2y + -1.2y = 0.0

4.5 + -0.2y = -1.8 + 0.0

4.5 + -0.2y = -1.8

Add '-4.5' to each side of the equation.

4.5 + -4.5 + -0.2y = -1.8 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0

0.0 + -0.2y = -1.8 + -4.5

-0.2y = -1.8 + -4.5

Combine like terms: -1.8 + -4.5 = -6.3

-0.2y = -6.3

Divide each side by '-0.2'.

y = 31.5

Simplifying

y = 31.5

Answer 2

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

0.5(2y+9)=0.3(4y−6)

Step 1: Simplify both sides of the equation.

0.5(2y+9)=0.3(4y−6)

(0.5)(2y)+(0.5)(9)=(0.3)(4y)+(0.3)(−6)(Distribute)

y+4.5=1.2y+−1.8

y+4.5=1.2y−1.8

Step 2: Subtract 1.2y from both sides.

y+4.5−1.2y=1.2y−1.8−1.2y

−0.2y+4.5=−1.8

Step 3: Subtract 4.5 from both sides.

−0.2y+4.5−4.5=−1.8−4.5

−0.2y=−6.3

Step 4: Divide both sides by -0.2.

−0.2y

−0.2

=

−6.3

−0.2

y=31.5