3(y-21)+2(y-2)=13

Solution for 3(y-21)+2(y-2)=13 equation:

Simplifying
3(y + -21) + 2(y + -2) = 13

Reorder the terms:
3(-21 + y) + 2(y + -2) = 13
(-21 * 3 + y * 3) + 2(y + -2) = 13
(-63 + 3y) + 2(y + -2) = 13

Reorder the terms:
-63 + 3y + 2(-2 + y) = 13
-63 + 3y + (-2 * 2 + y * 2) = 13
-63 + 3y + (-4 + 2y) = 13

Reorder the terms:
-63 + -4 + 3y + 2y = 13

Combine like terms: -63 + -4 = -67
-67 + 3y + 2y = 13

Combine like terms: 3y + 2y = 5y
-67 + 5y = 13

Solving
-67 + 5y = 13

Solving for variable 'y'.

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

Add '67' to each side of the equation.
-67 + 67 + 5y = 13 + 67

Combine like terms: -67 + 67 = 0
0 + 5y = 13 + 67
5y = 13 + 67

Combine like terms: 13 + 67 = 80
5y = 80

Divide each side by '5'.
y = 16

Simplifying
y = 16