-1-(-3y-3)=-5(7y+6)+6

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Solution for -1-(-3y-3)=-5(7y+6)+6 equation:


Simplifying
-1 + -1(-3y + -3) = -5(7y + 6) + 6

Reorder the terms:
-1 + -1(-3 + -3y) = -5(7y + 6) + 6
-1 + (-3 * -1 + -3y * -1) = -5(7y + 6) + 6
-1 + (3 + 3y) = -5(7y + 6) + 6

Combine like terms: -1 + 3 = 2
2 + 3y = -5(7y + 6) + 6

Reorder the terms:
2 + 3y = -5(6 + 7y) + 6
2 + 3y = (6 * -5 + 7y * -5) + 6
2 + 3y = (-30 + -35y) + 6

Reorder the terms:
2 + 3y = -30 + 6 + -35y

Combine like terms: -30 + 6 = -24
2 + 3y = -24 + -35y

Solving
2 + 3y = -24 + -35y

Solving for variable 'y'.

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

Add '35y' to each side of the equation.
2 + 3y + 35y = -24 + -35y + 35y

Combine like terms: 3y + 35y = 38y
2 + 38y = -24 + -35y + 35y

Combine like terms: -35y + 35y = 0
2 + 38y = -24 + 0
2 + 38y = -24

Add '-2' to each side of the equation.
2 + -2 + 38y = -24 + -2

Combine like terms: 2 + -2 = 0
0 + 38y = -24 + -2
38y = -24 + -2

Combine like terms: -24 + -2 = -26
38y = -26

Divide each side by '38'.
y = -0.6842105263

Simplifying
y = -0.6842105263

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