7y-(5y+13)=2-(8y-8)

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Solution for 7y-(5y+13)=2-(8y-8) equation:


Simplifying
7y + -1(5y + 13) = 2 + -1(8y + -8)

Reorder the terms:
7y + -1(13 + 5y) = 2 + -1(8y + -8)
7y + (13 * -1 + 5y * -1) = 2 + -1(8y + -8)
7y + (-13 + -5y) = 2 + -1(8y + -8)

Reorder the terms:
-13 + 7y + -5y = 2 + -1(8y + -8)

Combine like terms: 7y + -5y = 2y
-13 + 2y = 2 + -1(8y + -8)

Reorder the terms:
-13 + 2y = 2 + -1(-8 + 8y)
-13 + 2y = 2 + (-8 * -1 + 8y * -1)
-13 + 2y = 2 + (8 + -8y)

Combine like terms: 2 + 8 = 10
-13 + 2y = 10 + -8y

Solving
-13 + 2y = 10 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-13 + 2y + 8y = 10 + -8y + 8y

Combine like terms: 2y + 8y = 10y
-13 + 10y = 10 + -8y + 8y

Combine like terms: -8y + 8y = 0
-13 + 10y = 10 + 0
-13 + 10y = 10

Add '13' to each side of the equation.
-13 + 13 + 10y = 10 + 13

Combine like terms: -13 + 13 = 0
0 + 10y = 10 + 13
10y = 10 + 13

Combine like terms: 10 + 13 = 23
10y = 23

Divide each side by '10'.
y = 2.3

Simplifying
y = 2.3

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