5(y+4)+8(y-5)+7=

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Solution for 5(y+4)+8(y-5)+7= equation: 


Simplifying
5(y + 4) + 8(y + -5) + 7 = 0

Reorder the terms:
5(4 + y) + 8(y + -5) + 7 = 0
(4 * 5 + y * 5) + 8(y + -5) + 7 = 0
(20 + 5y) + 8(y + -5) + 7 = 0

Reorder the terms:
20 + 5y + 8(-5 + y) + 7 = 0
20 + 5y + (-5 * 8 + y * 8) + 7 = 0
20 + 5y + (-40 + 8y) + 7 = 0

Reorder the terms:
20 + -40 + 7 + 5y + 8y = 0

Combine like terms: 20 + -40 = -20
-20 + 7 + 5y + 8y = 0

Combine like terms: -20 + 7 = -13
-13 + 5y + 8y = 0

Combine like terms: 5y + 8y = 13y
-13 + 13y = 0

Solving
-13 + 13y = 0

Solving for variable 'y'.

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

Add '13' to each side of the equation.
-13 + 13 + 13y = 0 + 13

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

Combine like terms: 0 + 13 = 13
13y = 13

Divide each side by '13'.
y = 1

Simplifying
y = 1

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