7y-9+4(2y+3)=-3(y+2)

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Solution for 7y-9+4(2y+3)=-3(y+2) equation:


Simplifying
7y + -9 + 4(2y + 3) = -3(y + 2)

Reorder the terms:
7y + -9 + 4(3 + 2y) = -3(y + 2)
7y + -9 + (3 * 4 + 2y * 4) = -3(y + 2)
7y + -9 + (12 + 8y) = -3(y + 2)

Reorder the terms:
-9 + 12 + 7y + 8y = -3(y + 2)

Combine like terms: -9 + 12 = 3
3 + 7y + 8y = -3(y + 2)

Combine like terms: 7y + 8y = 15y
3 + 15y = -3(y + 2)

Reorder the terms:
3 + 15y = -3(2 + y)
3 + 15y = (2 * -3 + y * -3)
3 + 15y = (-6 + -3y)

Solving
3 + 15y = -6 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
3 + 15y + 3y = -6 + -3y + 3y

Combine like terms: 15y + 3y = 18y
3 + 18y = -6 + -3y + 3y

Combine like terms: -3y + 3y = 0
3 + 18y = -6 + 0
3 + 18y = -6

Add '-3' to each side of the equation.
3 + -3 + 18y = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 18y = -6 + -3
18y = -6 + -3

Combine like terms: -6 + -3 = -9
18y = -9

Divide each side by '18'.
y = -0.5

Simplifying
y = -0.5

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