3(y+17)=2(y+9)

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Solution for 3(y+17)=2(y+9) equation: 


Simplifying
3(y + 17) = 2(y + 9)

Reorder the terms:
3(17 + y) = 2(y + 9)
(17 * 3 + y * 3) = 2(y + 9)
(51 + 3y) = 2(y + 9)

Reorder the terms:
51 + 3y = 2(9 + y)
51 + 3y = (9 * 2 + y * 2)
51 + 3y = (18 + 2y)

Solving
51 + 3y = 18 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
51 + 3y + -2y = 18 + 2y + -2y

Combine like terms: 3y + -2y = 1y
51 + 1y = 18 + 2y + -2y

Combine like terms: 2y + -2y = 0
51 + 1y = 18 + 0
51 + 1y = 18

Add '-51' to each side of the equation.
51 + -51 + 1y = 18 + -51

Combine like terms: 51 + -51 = 0
0 + 1y = 18 + -51
1y = 18 + -51

Combine like terms: 18 + -51 = -33
1y = -33

Divide each side by '1'.
y = -33

Simplifying
y = -33

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