2y-3(y+1)=-(5y+9)+y

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Solution for 2y-3(y+1)=-(5y+9)+y equation:


Simplifying
2y + -3(y + 1) = -1(5y + 9) + y

Reorder the terms:
2y + -3(1 + y) = -1(5y + 9) + y
2y + (1 * -3 + y * -3) = -1(5y + 9) + y
2y + (-3 + -3y) = -1(5y + 9) + y

Reorder the terms:
-3 + 2y + -3y = -1(5y + 9) + y

Combine like terms: 2y + -3y = -1y
-3 + -1y = -1(5y + 9) + y

Reorder the terms:
-3 + -1y = -1(9 + 5y) + y
-3 + -1y = (9 * -1 + 5y * -1) + y
-3 + -1y = (-9 + -5y) + y

Combine like terms: -5y + y = -4y
-3 + -1y = -9 + -4y

Solving
-3 + -1y = -9 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-3 + -1y + 4y = -9 + -4y + 4y

Combine like terms: -1y + 4y = 3y
-3 + 3y = -9 + -4y + 4y

Combine like terms: -4y + 4y = 0
-3 + 3y = -9 + 0
-3 + 3y = -9

Add '3' to each side of the equation.
-3 + 3 + 3y = -9 + 3

Combine like terms: -3 + 3 = 0
0 + 3y = -9 + 3
3y = -9 + 3

Combine like terms: -9 + 3 = -6
3y = -6

Divide each side by '3'.
y = -2

Simplifying
y = -2

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