15y-14=2(5y+8)

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Solution for 15y-14=2(5y+8) equation:


Simplifying
15y + -14 = 2(5y + 8)

Reorder the terms:
-14 + 15y = 2(5y + 8)

Reorder the terms:
-14 + 15y = 2(8 + 5y)
-14 + 15y = (8 * 2 + 5y * 2)
-14 + 15y = (16 + 10y)

Solving
-14 + 15y = 16 + 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.
-14 + 15y + -10y = 16 + 10y + -10y

Combine like terms: 15y + -10y = 5y
-14 + 5y = 16 + 10y + -10y

Combine like terms: 10y + -10y = 0
-14 + 5y = 16 + 0
-14 + 5y = 16

Add '14' to each side of the equation.
-14 + 14 + 5y = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 5y = 16 + 14
5y = 16 + 14

Combine like terms: 16 + 14 = 30
5y = 30

Divide each side by '5'.
y = 6

Simplifying
y = 6

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