15y+13=2(5y+6)

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Solution for 15y+13=2(5y+6) equation:


Simplifying
15y + 13 = 2(5y + 6)

Reorder the terms:
13 + 15y = 2(5y + 6)

Reorder the terms:
13 + 15y = 2(6 + 5y)
13 + 15y = (6 * 2 + 5y * 2)
13 + 15y = (12 + 10y)

Solving
13 + 15y = 12 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
13 + 15y + -10y = 12 + 10y + -10y

Combine like terms: 15y + -10y = 5y
13 + 5y = 12 + 10y + -10y

Combine like terms: 10y + -10y = 0
13 + 5y = 12 + 0
13 + 5y = 12

Add '-13' to each side of the equation.
13 + -13 + 5y = 12 + -13

Combine like terms: 13 + -13 = 0
0 + 5y = 12 + -13
5y = 12 + -13

Combine like terms: 12 + -13 = -1
5y = -1

Divide each side by '5'.
y = -0.2

Simplifying
y = -0.2

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