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

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


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

Reorder the terms:
3(7 + y) = 4(y + -4)
(7 * 3 + y * 3) = 4(y + -4)
(21 + 3y) = 4(y + -4)

Reorder the terms:
21 + 3y = 4(-4 + y)
21 + 3y = (-4 * 4 + y * 4)
21 + 3y = (-16 + 4y)

Solving
21 + 3y = -16 + 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.
21 + 3y + -4y = -16 + 4y + -4y

Combine like terms: 3y + -4y = -1y
21 + -1y = -16 + 4y + -4y

Combine like terms: 4y + -4y = 0
21 + -1y = -16 + 0
21 + -1y = -16

Add '-21' to each side of the equation.
21 + -21 + -1y = -16 + -21

Combine like terms: 21 + -21 = 0
0 + -1y = -16 + -21
-1y = -16 + -21

Combine like terms: -16 + -21 = -37
-1y = -37

Divide each side by '-1'.
y = 37

Simplifying
y = 37

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