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

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


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

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

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

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

Combine like terms: 6 + -4 = 2
2 + 6y + -5y = 7

Combine like terms: 6y + -5y = 1y
2 + 1y = 7

Solving
2 + 1y = 7

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 = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 7 + -2
1y = 7 + -2

Combine like terms: 7 + -2 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5

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