5(y-2)=-2(12-9)+y

Solution for 5(y-2)=-2(12-9)+y equation:

Simplifying
5(y + -2) = -2(12 + -9) + y

Reorder the terms:
5(-2 + y) = -2(12 + -9) + y
(-2 * 5 + y * 5) = -2(12 + -9) + y
(-10 + 5y) = -2(12 + -9) + y

Combine like terms: 12 + -9 = 3
-10 + 5y = -2(3) + y

Multiply -2 * 3
-10 + 5y = -6 + y

Solving
-10 + 5y = -6 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-10 + 5y + -1y = -6 + y + -1y

Combine like terms: 5y + -1y = 4y
-10 + 4y = -6 + y + -1y

Combine like terms: y + -1y = 0
-10 + 4y = -6 + 0
-10 + 4y = -6

Add '10' to each side of the equation.
-10 + 10 + 4y = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 4y = -6 + 10
4y = -6 + 10

Combine like terms: -6 + 10 = 4
4y = 4

Divide each side by '4'.
y = 1

Simplifying
y = 1