5(2y+1)-12=3(3y-2)+17

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Solution for 5(2y+1)-12=3(3y-2)+17 equation:


Simplifying
5(2y + 1) + -12 = 3(3y + -2) + 17

Reorder the terms:
5(1 + 2y) + -12 = 3(3y + -2) + 17
(1 * 5 + 2y * 5) + -12 = 3(3y + -2) + 17
(5 + 10y) + -12 = 3(3y + -2) + 17

Reorder the terms:
5 + -12 + 10y = 3(3y + -2) + 17

Combine like terms: 5 + -12 = -7
-7 + 10y = 3(3y + -2) + 17

Reorder the terms:
-7 + 10y = 3(-2 + 3y) + 17
-7 + 10y = (-2 * 3 + 3y * 3) + 17
-7 + 10y = (-6 + 9y) + 17

Reorder the terms:
-7 + 10y = -6 + 17 + 9y

Combine like terms: -6 + 17 = 11
-7 + 10y = 11 + 9y

Solving
-7 + 10y = 11 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-7 + 10y + -9y = 11 + 9y + -9y

Combine like terms: 10y + -9y = 1y
-7 + 1y = 11 + 9y + -9y

Combine like terms: 9y + -9y = 0
-7 + 1y = 11 + 0
-7 + 1y = 11

Add '7' to each side of the equation.
-7 + 7 + 1y = 11 + 7

Combine like terms: -7 + 7 = 0
0 + 1y = 11 + 7
1y = 11 + 7

Combine like terms: 11 + 7 = 18
1y = 18

Divide each side by '1'.
y = 18

Simplifying
y = 18

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