3y-2(y+19)=9y-3(9-y)

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Solution for 3y-2(y+19)=9y-3(9-y) equation: 


Simplifying
3y + -2(y + 19) = 9y + -3(9 + -1y)

Reorder the terms:
3y + -2(19 + y) = 9y + -3(9 + -1y)
3y + (19 * -2 + y * -2) = 9y + -3(9 + -1y)
3y + (-38 + -2y) = 9y + -3(9 + -1y)

Reorder the terms:
-38 + 3y + -2y = 9y + -3(9 + -1y)

Combine like terms: 3y + -2y = 1y
-38 + 1y = 9y + -3(9 + -1y)
-38 + 1y = 9y + (9 * -3 + -1y * -3)
-38 + 1y = 9y + (-27 + 3y)

Reorder the terms:
-38 + 1y = -27 + 9y + 3y

Combine like terms: 9y + 3y = 12y
-38 + 1y = -27 + 12y

Solving
-38 + 1y = -27 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-38 + 1y + -12y = -27 + 12y + -12y

Combine like terms: 1y + -12y = -11y
-38 + -11y = -27 + 12y + -12y

Combine like terms: 12y + -12y = 0
-38 + -11y = -27 + 0
-38 + -11y = -27

Add '38' to each side of the equation.
-38 + 38 + -11y = -27 + 38

Combine like terms: -38 + 38 = 0
0 + -11y = -27 + 38
-11y = -27 + 38

Combine like terms: -27 + 38 = 11
-11y = 11

Divide each side by '-11'.
y = -1

Simplifying
y = -1

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