3(y-21)+2(y-4)=19

Solution for 3(y-21)+2(y-4)=19 equation:

Simplifying
3(y + -21) + 2(y + -4) = 19

Reorder the terms:
3(-21 + y) + 2(y + -4) = 19
(-21 * 3 + y * 3) + 2(y + -4) = 19
(-63 + 3y) + 2(y + -4) = 19

Reorder the terms:
-63 + 3y + 2(-4 + y) = 19
-63 + 3y + (-4 * 2 + y * 2) = 19
-63 + 3y + (-8 + 2y) = 19

Reorder the terms:
-63 + -8 + 3y + 2y = 19

Combine like terms: -63 + -8 = -71
-71 + 3y + 2y = 19

Combine like terms: 3y + 2y = 5y
-71 + 5y = 19

Solving
-71 + 5y = 19

Solving for variable 'y'.

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

Add '71' to each side of the equation.
-71 + 71 + 5y = 19 + 71

Combine like terms: -71 + 71 = 0
0 + 5y = 19 + 71
5y = 19 + 71

Combine like terms: 19 + 71 = 90
5y = 90

Divide each side by '5'.
y = 18

Simplifying
y = 18