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

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


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

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

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

Reorder the terms:
7 + y = 4(-6 + y)
7 + y = (-6 * 4 + y * 4)
7 + y = (-24 + 4y)

Solving
7 + y = -24 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
7 + y + -4y = -24 + 4y + -4y

Combine like terms: y + -4y = -3y
7 + -3y = -24 + 4y + -4y

Combine like terms: 4y + -4y = 0
7 + -3y = -24 + 0
7 + -3y = -24

Add '-7' to each side of the equation.
7 + -7 + -3y = -24 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = -24 + -7
-3y = -24 + -7

Combine like terms: -24 + -7 = -31
-3y = -31

Divide each side by '-3'.
y = 10.33333333

Simplifying
y = 10.33333333

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