7y-7+2(4y+5)=-3(y+1)

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Solution for 7y-7+2(4y+5)=-3(y+1) equation:


Simplifying
7y + -7 + 2(4y + 5) = -3(y + 1)

Reorder the terms:
7y + -7 + 2(5 + 4y) = -3(y + 1)
7y + -7 + (5 * 2 + 4y * 2) = -3(y + 1)
7y + -7 + (10 + 8y) = -3(y + 1)

Reorder the terms:
-7 + 10 + 7y + 8y = -3(y + 1)

Combine like terms: -7 + 10 = 3
3 + 7y + 8y = -3(y + 1)

Combine like terms: 7y + 8y = 15y
3 + 15y = -3(y + 1)

Reorder the terms:
3 + 15y = -3(1 + y)
3 + 15y = (1 * -3 + y * -3)
3 + 15y = (-3 + -3y)

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

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

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

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

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

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

Divide each side by '18'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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