Question

Solve for y, 8y-9=4y+3​

Answer 1

Answer:

Simplifying

8y + -9 = 4y + 3

Reorder the terms:

-9 + 8y = 4y + 3

Reorder the terms:

-9 + 8y = 3 + 4y

Solving

-9 + 8y = 3 + 4y

Solving for variable 'y'.

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

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

-9 + 8y + -4y = 3 + 4y + -4y

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

-9 + 4y = 3 + 4y + -4y

Combine like terms: 4y + -4y = 0

-9 + 4y = 3 + 0

-9 + 4y = 3

Add '9' to each side of the equation.

-9 + 9 + 4y = 3 + 9

Combine like terms: -9 + 9 = 0

0 + 4y = 3 + 9

4y = 3 + 9

Combine like terms: 3 + 9 = 12

4y = 12

Divide each side by '4'.

y = 3

Simplifying

y = 3

Answer 2

Answer:

Given Equation:-

$\sf 8y-9=4y+3$

To find:-

Value of y

Solution:-

$\\\qquad\quad\displaystyle\sf {:}\longrightarrow 8y-9=4y+3$

$\\\qquad\quad\displaystyle\sf {:}\longrightarrow 8y-4y-9=3$

$\\\qquad\quad\displaystyle\sf {:}\longrightarrow 8y-4y=3+9$

$\\\qquad\quad\displaystyle\sf {:}\longrightarrow 4y=3+9$

$\\\qquad\quad\displaystyle\sf {:}\longrightarrow 4y=12$

$\\\qquad\quad\displaystyle\sf {:}\longrightarrow y=\dfrac {12}{4}$

$\\\qquad\quad\displaystyle\sf {:}\longrightarrow y=3$

$\\\therefore\sf y=3 .$