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

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


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

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

Reorder the terms:
7 + -4y = -3(3 + 2y)
7 + -4y = (3 * -3 + 2y * -3)
7 + -4y = (-9 + -6y)

Solving
7 + -4y = -9 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
7 + -4y + 6y = -9 + -6y + 6y

Combine like terms: -4y + 6y = 2y
7 + 2y = -9 + -6y + 6y

Combine like terms: -6y + 6y = 0
7 + 2y = -9 + 0
7 + 2y = -9

Add '-7' to each side of the equation.
7 + -7 + 2y = -9 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = -9 + -7
2y = -9 + -7

Combine like terms: -9 + -7 = -16
2y = -16

Divide each side by '2'.
y = -8

Simplifying
y = -8

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