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

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


Simplifying
(7y + 8) + -1(5y + -2) = 0

Reorder the terms:
(8 + 7y) + -1(5y + -2) = 0

Remove parenthesis around (8 + 7y)
8 + 7y + -1(5y + -2) = 0

Reorder the terms:
8 + 7y + -1(-2 + 5y) = 0
8 + 7y + (-2 * -1 + 5y * -1) = 0
8 + 7y + (2 + -5y) = 0

Reorder the terms:
8 + 2 + 7y + -5y = 0

Combine like terms: 8 + 2 = 10
10 + 7y + -5y = 0

Combine like terms: 7y + -5y = 2y
10 + 2y = 0

Solving
10 + 2y = 0

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 2y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 2y = 0 + -10
2y = 0 + -10

Combine like terms: 0 + -10 = -10
2y = -10

Divide each side by '2'.
y = -5

Simplifying
y = -5

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