7(y+2)=3(y-6)

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Solution for 7(y+2)=3(y-6) equation:


Simplifying
7(y + 2) = 3(y + -6)

Reorder the terms:
7(2 + y) = 3(y + -6)
(2 * 7 + y * 7) = 3(y + -6)
(14 + 7y) = 3(y + -6)

Reorder the terms:
14 + 7y = 3(-6 + y)
14 + 7y = (-6 * 3 + y * 3)
14 + 7y = (-18 + 3y)

Solving
14 + 7y = -18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
14 + 7y + -3y = -18 + 3y + -3y

Combine like terms: 7y + -3y = 4y
14 + 4y = -18 + 3y + -3y

Combine like terms: 3y + -3y = 0
14 + 4y = -18 + 0
14 + 4y = -18

Add '-14' to each side of the equation.
14 + -14 + 4y = -18 + -14

Combine like terms: 14 + -14 = 0
0 + 4y = -18 + -14
4y = -18 + -14

Combine like terms: -18 + -14 = -32
4y = -32

Divide each side by '4'.
y = -8

Simplifying
y = -8

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