(6y+7)-(4+5y)=8

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Solution for (6y+7)-(4+5y)=8 equation:


Simplifying
(6y + 7) + -1(4 + 5y) = 8

Reorder the terms:
(7 + 6y) + -1(4 + 5y) = 8

Remove parenthesis around (7 + 6y)
7 + 6y + -1(4 + 5y) = 8
7 + 6y + (4 * -1 + 5y * -1) = 8
7 + 6y + (-4 + -5y) = 8

Reorder the terms:
7 + -4 + 6y + -5y = 8

Combine like terms: 7 + -4 = 3
3 + 6y + -5y = 8

Combine like terms: 6y + -5y = 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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