4(y+10)+y=3(y+5)-8

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Solution for 4(y+10)+y=3(y+5)-8 equation: 


Simplifying
4(y + 10) + y = 3(y + 5) + -8

Reorder the terms:
4(10 + y) + y = 3(y + 5) + -8
(10 * 4 + y * 4) + y = 3(y + 5) + -8
(40 + 4y) + y = 3(y + 5) + -8

Combine like terms: 4y + y = 5y
40 + 5y = 3(y + 5) + -8

Reorder the terms:
40 + 5y = 3(5 + y) + -8
40 + 5y = (5 * 3 + y * 3) + -8
40 + 5y = (15 + 3y) + -8

Reorder the terms:
40 + 5y = 15 + -8 + 3y

Combine like terms: 15 + -8 = 7
40 + 5y = 7 + 3y

Solving
40 + 5y = 7 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
40 + 5y + -3y = 7 + 3y + -3y

Combine like terms: 5y + -3y = 2y
40 + 2y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
40 + 2y = 7 + 0
40 + 2y = 7

Add '-40' to each side of the equation.
40 + -40 + 2y = 7 + -40

Combine like terms: 40 + -40 = 0
0 + 2y = 7 + -40
2y = 7 + -40

Combine like terms: 7 + -40 = -33
2y = -33

Divide each side by '2'.
y = -16.5

Simplifying
y = -16.5

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