8(y-5)+5(y+3)=92

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Solution for 8(y-5)+5(y+3)=92 equation: 


Simplifying
8(y + -5) + 5(y + 3) = 92

Reorder the terms:
8(-5 + y) + 5(y + 3) = 92
(-5 * 8 + y * 8) + 5(y + 3) = 92
(-40 + 8y) + 5(y + 3) = 92

Reorder the terms:
-40 + 8y + 5(3 + y) = 92
-40 + 8y + (3 * 5 + y * 5) = 92
-40 + 8y + (15 + 5y) = 92

Reorder the terms:
-40 + 15 + 8y + 5y = 92

Combine like terms: -40 + 15 = -25
-25 + 8y + 5y = 92

Combine like terms: 8y + 5y = 13y
-25 + 13y = 92

Solving
-25 + 13y = 92

Solving for variable 'y'.

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

Add '25' to each side of the equation.
-25 + 25 + 13y = 92 + 25

Combine like terms: -25 + 25 = 0
0 + 13y = 92 + 25
13y = 92 + 25

Combine like terms: 92 + 25 = 117
13y = 117

Divide each side by '13'.
y = 9

Simplifying
y = 9

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