3(y+2)-5y+9=13

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Solution for 3(y+2)-5y+9=13 equation:


Simplifying
3(y + 2) + -5y + 9 = 13

Reorder the terms:
3(2 + y) + -5y + 9 = 13
(2 * 3 + y * 3) + -5y + 9 = 13
(6 + 3y) + -5y + 9 = 13

Reorder the terms:
6 + 9 + 3y + -5y = 13

Combine like terms: 6 + 9 = 15
15 + 3y + -5y = 13

Combine like terms: 3y + -5y = -2y
15 + -2y = 13

Solving
15 + -2y = 13

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + -2y = 13 + -15

Combine like terms: 15 + -15 = 0
0 + -2y = 13 + -15
-2y = 13 + -15

Combine like terms: 13 + -15 = -2
-2y = -2

Divide each side by '-2'.
y = 1

Simplifying
y = 1

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