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

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


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

Reorder the terms:
-3(-3 + 7y) + 7y = 4(y + 3)
(-3 * -3 + 7y * -3) + 7y = 4(y + 3)
(9 + -21y) + 7y = 4(y + 3)

Combine like terms: -21y + 7y = -14y
9 + -14y = 4(y + 3)

Reorder the terms:
9 + -14y = 4(3 + y)
9 + -14y = (3 * 4 + y * 4)
9 + -14y = (12 + 4y)

Solving
9 + -14y = 12 + 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.
9 + -14y + -4y = 12 + 4y + -4y

Combine like terms: -14y + -4y = -18y
9 + -18y = 12 + 4y + -4y

Combine like terms: 4y + -4y = 0
9 + -18y = 12 + 0
9 + -18y = 12

Add '-9' to each side of the equation.
9 + -9 + -18y = 12 + -9

Combine like terms: 9 + -9 = 0
0 + -18y = 12 + -9
-18y = 12 + -9

Combine like terms: 12 + -9 = 3
-18y = 3

Divide each side by '-18'.
y = -0.1666666667

Simplifying
y = -0.1666666667

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