4(y-9)=3(2-8)

Solution for 4(y-9)=3(2-8) equation:

Simplifying
4(y + -9) = 3(2 + -8)

Reorder the terms:
4(-9 + y) = 3(2 + -8)
(-9 * 4 + y * 4) = 3(2 + -8)
(-36 + 4y) = 3(2 + -8)

Combine like terms: 2 + -8 = -6
-36 + 4y = 3(-6)

Multiply 3 * -6
-36 + 4y = -18

Solving
-36 + 4y = -18

Solving for variable 'y'.

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

Add '36' to each side of the equation.
-36 + 36 + 4y = -18 + 36

Combine like terms: -36 + 36 = 0
0 + 4y = -18 + 36
4y = -18 + 36

Combine like terms: -18 + 36 = 18
4y = 18

Divide each side by '4'.
y = 4.5

Simplifying
y = 4.5