2(y-21)+4(y-4)=50

Solution for 2(y-21)+4(y-4)=50 equation:

Simplifying
2(y + -21) + 4(y + -4) = 50

Reorder the terms:
2(-21 + y) + 4(y + -4) = 50
(-21 * 2 + y * 2) + 4(y + -4) = 50
(-42 + 2y) + 4(y + -4) = 50

Reorder the terms:
-42 + 2y + 4(-4 + y) = 50
-42 + 2y + (-4 * 4 + y * 4) = 50
-42 + 2y + (-16 + 4y) = 50

Reorder the terms:
-42 + -16 + 2y + 4y = 50

Combine like terms: -42 + -16 = -58
-58 + 2y + 4y = 50

Combine like terms: 2y + 4y = 6y
-58 + 6y = 50

Solving
-58 + 6y = 50

Solving for variable 'y'.

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

Add '58' to each side of the equation.
-58 + 58 + 6y = 50 + 58

Combine like terms: -58 + 58 = 0
0 + 6y = 50 + 58
6y = 50 + 58

Combine like terms: 50 + 58 = 108
6y = 108

Divide each side by '6'.
y = 18

Simplifying
y = 18