7(13-3y)+9y=19

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Solution for 7(13-3y)+9y=19 equation:


Simplifying
7(13 + -3y) + 9y = 19
(13 * 7 + -3y * 7) + 9y = 19
(91 + -21y) + 9y = 19

Combine like terms: -21y + 9y = -12y
91 + -12y = 19

Solving
91 + -12y = 19

Solving for variable 'y'.

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

Add '-91' to each side of the equation.
91 + -91 + -12y = 19 + -91

Combine like terms: 91 + -91 = 0
0 + -12y = 19 + -91
-12y = 19 + -91

Combine like terms: 19 + -91 = -72
-12y = -72

Divide each side by '-12'.
y = 6

Simplifying
y = 6

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