8(y-9)=7(5+y)

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Solution for 8(y-9)=7(5+y) equation:


Simplifying
8(y + -9) = 7(5 + y)

Reorder the terms:
8(-9 + y) = 7(5 + y)
(-9 * 8 + y * 8) = 7(5 + y)
(-72 + 8y) = 7(5 + y)
-72 + 8y = (5 * 7 + y * 7)
-72 + 8y = (35 + 7y)

Solving
-72 + 8y = 35 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-72 + 8y + -7y = 35 + 7y + -7y

Combine like terms: 8y + -7y = 1y
-72 + 1y = 35 + 7y + -7y

Combine like terms: 7y + -7y = 0
-72 + 1y = 35 + 0
-72 + 1y = 35

Add '72' to each side of the equation.
-72 + 72 + 1y = 35 + 72

Combine like terms: -72 + 72 = 0
0 + 1y = 35 + 72
1y = 35 + 72

Combine like terms: 35 + 72 = 107
1y = 107

Divide each side by '1'.
y = 107

Simplifying
y = 107

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