3(2y+2)=4(y+7)

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Solution for 3(2y+2)=4(y+7) equation:


Simplifying
3(2y + 2) = 4(y + 7)

Reorder the terms:
3(2 + 2y) = 4(y + 7)
(2 * 3 + 2y * 3) = 4(y + 7)
(6 + 6y) = 4(y + 7)

Reorder the terms:
6 + 6y = 4(7 + y)
6 + 6y = (7 * 4 + y * 4)
6 + 6y = (28 + 4y)

Solving
6 + 6y = 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.
6 + 6y + -4y = 28 + 4y + -4y

Combine like terms: 6y + -4y = 2y
6 + 2y = 28 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + 2y = 28 + 0
6 + 2y = 28

Add '-6' to each side of the equation.
6 + -6 + 2y = 28 + -6

Combine like terms: 6 + -6 = 0
0 + 2y = 28 + -6
2y = 28 + -6

Combine like terms: 28 + -6 = 22
2y = 22

Divide each side by '2'.
y = 11

Simplifying
y = 11

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