Question

solve 3y+4=5y-4 by transposing method

Answer 1

3y + 4 = 5y - 4

= 3y - 5y = -4-4

=> -2y = -8

=> y = 8/2

=> y = 4

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Answer 2

Answer:

Simplifying

3y + 4 = 5y + -4

Reorder the terms:

4 + 3y = 5y + -4

Reorder the terms:

4 + 3y = -4 + 5y

Solving

4 + 3y = -4 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.

4 + 3y + -5y = -4 + 5y + -5y

Combine like terms: 3y + -5y = -2y

4 + -2y = -4 + 5y + -5y

Combine like terms: 5y + -5y = 0

4 + -2y = -4 + 0

4 + -2y = -4

Add '-4' to each side of the equation.

4 + -4 + -2y = -4 + -4

Combine like terms: 4 + -4 = 0

0 + -2y = -4 + -4

-2y = -4 + -4

Combine like terms: -4 + -4 = -8

-2y = -8

Divide each side by '-2'.

y = 4

Simplifying

y = 4

Step-by-step explanation:

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