3(y-22)+3(y-2)=30

Solution for 3(y-22)+3(y-2)=30 equation:

Simplifying
3(y + -22) + 3(y + -2) = 30

Reorder the terms:
3(-22 + y) + 3(y + -2) = 30
(-22 * 3 + y * 3) + 3(y + -2) = 30
(-66 + 3y) + 3(y + -2) = 30

Reorder the terms:
-66 + 3y + 3(-2 + y) = 30
-66 + 3y + (-2 * 3 + y * 3) = 30
-66 + 3y + (-6 + 3y) = 30

Reorder the terms:
-66 + -6 + 3y + 3y = 30

Combine like terms: -66 + -6 = -72
-72 + 3y + 3y = 30

Combine like terms: 3y + 3y = 6y
-72 + 6y = 30

Solving
-72 + 6y = 30

Solving for variable 'y'.

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

Add '72' to each side of the equation.
-72 + 72 + 6y = 30 + 72

Combine like terms: -72 + 72 = 0
0 + 6y = 30 + 72
6y = 30 + 72

Combine like terms: 30 + 72 = 102
6y = 102

Divide each side by '6'.
y = 17

Simplifying
y = 17