4(y+10)+y=2(y+5)-8

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Solution for 4(y+10)+y=2(y+5)-8 equation: 


Simplifying
4(y + 10) + y = 2(y + 5) + -8

Reorder the terms:
4(10 + y) + y = 2(y + 5) + -8
(10 * 4 + y * 4) + y = 2(y + 5) + -8
(40 + 4y) + y = 2(y + 5) + -8

Combine like terms: 4y + y = 5y
40 + 5y = 2(y + 5) + -8

Reorder the terms:
40 + 5y = 2(5 + y) + -8
40 + 5y = (5 * 2 + y * 2) + -8
40 + 5y = (10 + 2y) + -8

Reorder the terms:
40 + 5y = 10 + -8 + 2y

Combine like terms: 10 + -8 = 2
40 + 5y = 2 + 2y

Solving
40 + 5y = 2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
40 + 5y + -2y = 2 + 2y + -2y

Combine like terms: 5y + -2y = 3y
40 + 3y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
40 + 3y = 2 + 0
40 + 3y = 2

Add '-40' to each side of the equation.
40 + -40 + 3y = 2 + -40

Combine like terms: 40 + -40 = 0
0 + 3y = 2 + -40
3y = 2 + -40

Combine like terms: 2 + -40 = -38
3y = -38

Divide each side by '3'.
y = -12.66666667

Simplifying
y = -12.66666667

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