(6y+7)-(4+5y)=12

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Solution for (6y+7)-(4+5y)=12 equation:


Simplifying
(6y + 7) + -1(4 + 5y) = 12

Reorder the terms:
(7 + 6y) + -1(4 + 5y) = 12

Remove parenthesis around (7 + 6y)
7 + 6y + -1(4 + 5y) = 12
7 + 6y + (4 * -1 + 5y * -1) = 12
7 + 6y + (-4 + -5y) = 12

Reorder the terms:
7 + -4 + 6y + -5y = 12

Combine like terms: 7 + -4 = 3
3 + 6y + -5y = 12

Combine like terms: 6y + -5y = 1y
3 + 1y = 12

Solving
3 + 1y = 12

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 = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 12 + -3
1y = 12 + -3

Combine like terms: 12 + -3 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9

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