-6-3(y+3)=7y-(2y-1)

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Solution for -6-3(y+3)=7y-(2y-1) equation: 


Simplifying
-6 + -3(y + 3) = 7y + -1(2y + -1)

Reorder the terms:
-6 + -3(3 + y) = 7y + -1(2y + -1)
-6 + (3 * -3 + y * -3) = 7y + -1(2y + -1)
-6 + (-9 + -3y) = 7y + -1(2y + -1)

Combine like terms: -6 + -9 = -15
-15 + -3y = 7y + -1(2y + -1)

Reorder the terms:
-15 + -3y = 7y + -1(-1 + 2y)
-15 + -3y = 7y + (-1 * -1 + 2y * -1)
-15 + -3y = 7y + (1 + -2y)

Reorder the terms:
-15 + -3y = 1 + 7y + -2y

Combine like terms: 7y + -2y = 5y
-15 + -3y = 1 + 5y

Solving
-15 + -3y = 1 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-15 + -3y + -5y = 1 + 5y + -5y

Combine like terms: -3y + -5y = -8y
-15 + -8y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
-15 + -8y = 1 + 0
-15 + -8y = 1

Add '15' to each side of the equation.
-15 + 15 + -8y = 1 + 15

Combine like terms: -15 + 15 = 0
0 + -8y = 1 + 15
-8y = 1 + 15

Combine like terms: 1 + 15 = 16
-8y = 16

Divide each side by '-8'.
y = -2

Simplifying
y = -2

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