2(5y+3)-9=12y-19

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Solution for 2(5y+3)-9=12y-19 equation:


Simplifying
2(5y + 3) + -9 = 12y + -19

Reorder the terms:
2(3 + 5y) + -9 = 12y + -19
(3 * 2 + 5y * 2) + -9 = 12y + -19
(6 + 10y) + -9 = 12y + -19

Reorder the terms:
6 + -9 + 10y = 12y + -19

Combine like terms: 6 + -9 = -3
-3 + 10y = 12y + -19

Reorder the terms:
-3 + 10y = -19 + 12y

Solving
-3 + 10y = -19 + 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.
-3 + 10y + -12y = -19 + 12y + -12y

Combine like terms: 10y + -12y = -2y
-3 + -2y = -19 + 12y + -12y

Combine like terms: 12y + -12y = 0
-3 + -2y = -19 + 0
-3 + -2y = -19

Add '3' to each side of the equation.
-3 + 3 + -2y = -19 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = -19 + 3
-2y = -19 + 3

Combine like terms: -19 + 3 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8

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