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

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


Simplifying
3(3 + -2y) + y = y + -5(y + 2)
(3 * 3 + -2y * 3) + y = y + -5(y + 2)
(9 + -6y) + y = y + -5(y + 2)

Combine like terms: -6y + y = -5y
9 + -5y = y + -5(y + 2)

Reorder the terms:
9 + -5y = y + -5(2 + y)
9 + -5y = y + (2 * -5 + y * -5)
9 + -5y = y + (-10 + -5y)

Reorder the terms:
9 + -5y = -10 + y + -5y

Combine like terms: y + -5y = -4y
9 + -5y = -10 + -4y

Solving
9 + -5y = -10 + -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.
9 + -5y + 4y = -10 + -4y + 4y

Combine like terms: -5y + 4y = -1y
9 + -1y = -10 + -4y + 4y

Combine like terms: -4y + 4y = 0
9 + -1y = -10 + 0
9 + -1y = -10

Add '-9' to each side of the equation.
9 + -9 + -1y = -10 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = -10 + -9
-1y = -10 + -9

Combine like terms: -10 + -9 = -19
-1y = -19

Divide each side by '-1'.
y = 19

Simplifying
y = 19

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