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

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


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

Reorder the terms:
8(10 + y) + y = 4(y + 5) + -5
(10 * 8 + y * 8) + y = 4(y + 5) + -5
(80 + 8y) + y = 4(y + 5) + -5

Combine like terms: 8y + y = 9y
80 + 9y = 4(y + 5) + -5

Reorder the terms:
80 + 9y = 4(5 + y) + -5
80 + 9y = (5 * 4 + y * 4) + -5
80 + 9y = (20 + 4y) + -5

Reorder the terms:
80 + 9y = 20 + -5 + 4y

Combine like terms: 20 + -5 = 15
80 + 9y = 15 + 4y

Solving
80 + 9y = 15 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
80 + 9y + -4y = 15 + 4y + -4y

Combine like terms: 9y + -4y = 5y
80 + 5y = 15 + 4y + -4y

Combine like terms: 4y + -4y = 0
80 + 5y = 15 + 0
80 + 5y = 15

Add '-80' to each side of the equation.
80 + -80 + 5y = 15 + -80

Combine like terms: 80 + -80 = 0
0 + 5y = 15 + -80
5y = 15 + -80

Combine like terms: 15 + -80 = -65
5y = -65

Divide each side by '5'.
y = -13

Simplifying
y = -13

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