2(y-22)+3(y-4)=34

Solution for 2(y-22)+3(y-4)=34 equation:

Simplifying
2(y + -22) + 3(y + -4) = 34

Reorder the terms:
2(-22 + y) + 3(y + -4) = 34
(-22 * 2 + y * 2) + 3(y + -4) = 34
(-44 + 2y) + 3(y + -4) = 34

Reorder the terms:
-44 + 2y + 3(-4 + y) = 34
-44 + 2y + (-4 * 3 + y * 3) = 34
-44 + 2y + (-12 + 3y) = 34

Reorder the terms:
-44 + -12 + 2y + 3y = 34

Combine like terms: -44 + -12 = -56
-56 + 2y + 3y = 34

Combine like terms: 2y + 3y = 5y
-56 + 5y = 34

Solving
-56 + 5y = 34

Solving for variable 'y'.

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

Add '56' to each side of the equation.
-56 + 56 + 5y = 34 + 56

Combine like terms: -56 + 56 = 0
0 + 5y = 34 + 56
5y = 34 + 56

Combine like terms: 34 + 56 = 90
5y = 90

Divide each side by '5'.
y = 18

Simplifying
y = 18