3(3y-1)+13=5y+2

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Solution for 3(3y-1)+13=5y+2 equation: 


Simplifying
3(3y + -1) + 13 = 5y + 2

Reorder the terms:
3(-1 + 3y) + 13 = 5y + 2
(-1 * 3 + 3y * 3) + 13 = 5y + 2
(-3 + 9y) + 13 = 5y + 2

Reorder the terms:
-3 + 13 + 9y = 5y + 2

Combine like terms: -3 + 13 = 10
10 + 9y = 5y + 2

Reorder the terms:
10 + 9y = 2 + 5y

Solving
10 + 9y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
10 + 9y + -5y = 2 + 5y + -5y

Combine like terms: 9y + -5y = 4y
10 + 4y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + 4y = 2 + 0
10 + 4y = 2

Add '-10' to each side of the equation.
10 + -10 + 4y = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 4y = 2 + -10
4y = 2 + -10

Combine like terms: 2 + -10 = -8
4y = -8

Divide each side by '4'.
y = -2

Simplifying
y = -2

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