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

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Solution for 3(y+4)=4(y-7) equation: 


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

Reorder the terms:
3(4 + y) = 4(y + -7)
(4 * 3 + y * 3) = 4(y + -7)
(12 + 3y) = 4(y + -7)

Reorder the terms:
12 + 3y = 4(-7 + y)
12 + 3y = (-7 * 4 + y * 4)
12 + 3y = (-28 + 4y)

Solving
12 + 3y = -28 + 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.
12 + 3y + -4y = -28 + 4y + -4y

Combine like terms: 3y + -4y = -1y
12 + -1y = -28 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + -1y = -28 + 0
12 + -1y = -28

Add '-12' to each side of the equation.
12 + -12 + -1y = -28 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = -28 + -12
-1y = -28 + -12

Combine like terms: -28 + -12 = -40
-1y = -40

Divide each side by '-1'.
y = 40

Simplifying
y = 40

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