(7y+8)-(5+6y)=8

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Solution for (7y+8)-(5+6y)=8 equation:


Simplifying
(7y + 8) + -1(5 + 6y) = 8

Reorder the terms:
(8 + 7y) + -1(5 + 6y) = 8

Remove parenthesis around (8 + 7y)
8 + 7y + -1(5 + 6y) = 8
8 + 7y + (5 * -1 + 6y * -1) = 8
8 + 7y + (-5 + -6y) = 8

Reorder the terms:
8 + -5 + 7y + -6y = 8

Combine like terms: 8 + -5 = 3
3 + 7y + -6y = 8

Combine like terms: 7y + -6y = 1y
3 + 1y = 8

Solving
3 + 1y = 8

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 1y = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 8 + -3
1y = 8 + -3

Combine like terms: 8 + -3 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5

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