7(y+4)+10=6y-6

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Solution for 7(y+4)+10=6y-6 equation:


Simplifying
7(y + 4) + 10 = 6y + -6

Reorder the terms:
7(4 + y) + 10 = 6y + -6
(4 * 7 + y * 7) + 10 = 6y + -6
(28 + 7y) + 10 = 6y + -6

Reorder the terms:
28 + 10 + 7y = 6y + -6

Combine like terms: 28 + 10 = 38
38 + 7y = 6y + -6

Reorder the terms:
38 + 7y = -6 + 6y

Solving
38 + 7y = -6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
38 + 7y + -6y = -6 + 6y + -6y

Combine like terms: 7y + -6y = 1y
38 + 1y = -6 + 6y + -6y

Combine like terms: 6y + -6y = 0
38 + 1y = -6 + 0
38 + 1y = -6

Add '-38' to each side of the equation.
38 + -38 + 1y = -6 + -38

Combine like terms: 38 + -38 = 0
0 + 1y = -6 + -38
1y = -6 + -38

Combine like terms: -6 + -38 = -44
1y = -44

Divide each side by '1'.
y = -44

Simplifying
y = -44

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