(3y+3)-(-2y-5)=-6

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Solution for (3y+3)-(-2y-5)=-6 equation:


Simplifying
(3y + 3) + -1(-2y + -5) = -6

Reorder the terms:
(3 + 3y) + -1(-2y + -5) = -6

Remove parenthesis around (3 + 3y)
3 + 3y + -1(-2y + -5) = -6

Reorder the terms:
3 + 3y + -1(-5 + -2y) = -6
3 + 3y + (-5 * -1 + -2y * -1) = -6
3 + 3y + (5 + 2y) = -6

Reorder the terms:
3 + 5 + 3y + 2y = -6

Combine like terms: 3 + 5 = 8
8 + 3y + 2y = -6

Combine like terms: 3y + 2y = 5y
8 + 5y = -6

Solving
8 + 5y = -6

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + 5y = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 5y = -6 + -8
5y = -6 + -8

Combine like terms: -6 + -8 = -14
5y = -14

Divide each side by '5'.
y = -2.8

Simplifying
y = -2.8

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