(y+7)=3(y-1)

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Solution for (y+7)=3(y-1) equation:


Simplifying
(y + 7) = 3(y + -1)

Reorder the terms:
(7 + y) = 3(y + -1)

Remove parenthesis around (7 + y)
7 + y = 3(y + -1)

Reorder the terms:
7 + y = 3(-1 + y)
7 + y = (-1 * 3 + y * 3)
7 + y = (-3 + 3y)

Solving
7 + y = -3 + 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.
7 + y + -3y = -3 + 3y + -3y

Combine like terms: y + -3y = -2y
7 + -2y = -3 + 3y + -3y

Combine like terms: 3y + -3y = 0
7 + -2y = -3 + 0
7 + -2y = -3

Add '-7' to each side of the equation.
7 + -7 + -2y = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = -3 + -7
-2y = -3 + -7

Combine like terms: -3 + -7 = -10
-2y = -10

Divide each side by '-2'.
y = 5

Simplifying
y = 5

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