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

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


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

Reorder the terms:
2(5 + 3y) = 3(5y + 13)
(5 * 2 + 3y * 2) = 3(5y + 13)
(10 + 6y) = 3(5y + 13)

Reorder the terms:
10 + 6y = 3(13 + 5y)
10 + 6y = (13 * 3 + 5y * 3)
10 + 6y = (39 + 15y)

Solving
10 + 6y = 39 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
10 + 6y + -15y = 39 + 15y + -15y

Combine like terms: 6y + -15y = -9y
10 + -9y = 39 + 15y + -15y

Combine like terms: 15y + -15y = 0
10 + -9y = 39 + 0
10 + -9y = 39

Add '-10' to each side of the equation.
10 + -10 + -9y = 39 + -10

Combine like terms: 10 + -10 = 0
0 + -9y = 39 + -10
-9y = 39 + -10

Combine like terms: 39 + -10 = 29
-9y = 29

Divide each side by '-9'.
y = -3.222222222

Simplifying
y = -3.222222222

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