(7y+5)-(3+6y)=8

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Solution for (7y+5)-(3+6y)=8 equation:


Simplifying
(7y + 5) + -1(3 + 6y) = 8

Reorder the terms:
(5 + 7y) + -1(3 + 6y) = 8

Remove parenthesis around (5 + 7y)
5 + 7y + -1(3 + 6y) = 8
5 + 7y + (3 * -1 + 6y * -1) = 8
5 + 7y + (-3 + -6y) = 8

Reorder the terms:
5 + -3 + 7y + -6y = 8

Combine like terms: 5 + -3 = 2
2 + 7y + -6y = 8

Combine like terms: 7y + -6y = 1y
2 + 1y = 8

Solving
2 + 1y = 8

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 1y = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 8 + -2
1y = 8 + -2

Combine like terms: 8 + -2 = 6
1y = 6

Divide each side by '1'.
y = 6

Simplifying
y = 6

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