2(y-21)+3(y-3)=34

Solution for 2(y-21)+3(y-3)=34 equation:

Simplifying
2(y + -21) + 3(y + -3) = 34

Reorder the terms:
2(-21 + y) + 3(y + -3) = 34
(-21 * 2 + y * 2) + 3(y + -3) = 34
(-42 + 2y) + 3(y + -3) = 34

Reorder the terms:
-42 + 2y + 3(-3 + y) = 34
-42 + 2y + (-3 * 3 + y * 3) = 34
-42 + 2y + (-9 + 3y) = 34

Reorder the terms:
-42 + -9 + 2y + 3y = 34

Combine like terms: -42 + -9 = -51
-51 + 2y + 3y = 34

Combine like terms: 2y + 3y = 5y
-51 + 5y = 34

Solving
-51 + 5y = 34

Solving for variable 'y'.

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

Add '51' to each side of the equation.
-51 + 51 + 5y = 34 + 51

Combine like terms: -51 + 51 = 0
0 + 5y = 34 + 51
5y = 34 + 51

Combine like terms: 34 + 51 = 85
5y = 85

Divide each side by '5'.
y = 17

Simplifying
y = 17