3(9y+5)=312-2y+7

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Solution for 3(9y+5)=312-2y+7 equation:


Simplifying
3(9y + 5) = 312 + -2y + 7

Reorder the terms:
3(5 + 9y) = 312 + -2y + 7
(5 * 3 + 9y * 3) = 312 + -2y + 7
(15 + 27y) = 312 + -2y + 7

Reorder the terms:
15 + 27y = 312 + 7 + -2y

Combine like terms: 312 + 7 = 319
15 + 27y = 319 + -2y

Solving
15 + 27y = 319 + -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.
15 + 27y + 2y = 319 + -2y + 2y

Combine like terms: 27y + 2y = 29y
15 + 29y = 319 + -2y + 2y

Combine like terms: -2y + 2y = 0
15 + 29y = 319 + 0
15 + 29y = 319

Add '-15' to each side of the equation.
15 + -15 + 29y = 319 + -15

Combine like terms: 15 + -15 = 0
0 + 29y = 319 + -15
29y = 319 + -15

Combine like terms: 319 + -15 = 304
29y = 304

Divide each side by '29'.
y = 10.48275862

Simplifying
y = 10.48275862

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