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

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


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

Reorder the terms:
3y + 5 + -2(1 + y) = -3y + -3
3y + 5 + (1 * -2 + y * -2) = -3y + -3
3y + 5 + (-2 + -2y) = -3y + -3

Reorder the terms:
5 + -2 + 3y + -2y = -3y + -3

Combine like terms: 5 + -2 = 3
3 + 3y + -2y = -3y + -3

Combine like terms: 3y + -2y = 1y
3 + 1y = -3y + -3

Reorder the terms:
3 + 1y = -3 + -3y

Solving
3 + 1y = -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 + 1y + 3y = -3 + -3y + 3y

Combine like terms: 1y + 3y = 4y
3 + 4y = -3 + -3y + 3y

Combine like terms: -3y + 3y = 0
3 + 4y = -3 + 0
3 + 4y = -3

Add '-3' to each side of the equation.
3 + -3 + 4y = -3 + -3

Combine like terms: 3 + -3 = 0
0 + 4y = -3 + -3
4y = -3 + -3

Combine like terms: -3 + -3 = -6
4y = -6

Divide each side by '4'.
y = -1.5

Simplifying
y = -1.5

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