2(8y-7)+y=5y-2

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Solution for 2(8y-7)+y=5y-2 equation: 


Simplifying
2(8y + -7) + y = 5y + -2

Reorder the terms:
2(-7 + 8y) + y = 5y + -2
(-7 * 2 + 8y * 2) + y = 5y + -2
(-14 + 16y) + y = 5y + -2

Combine like terms: 16y + y = 17y
-14 + 17y = 5y + -2

Reorder the terms:
-14 + 17y = -2 + 5y

Solving
-14 + 17y = -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.
-14 + 17y + -5y = -2 + 5y + -5y

Combine like terms: 17y + -5y = 12y
-14 + 12y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-14 + 12y = -2 + 0
-14 + 12y = -2

Add '14' to each side of the equation.
-14 + 14 + 12y = -2 + 14

Combine like terms: -14 + 14 = 0
0 + 12y = -2 + 14
12y = -2 + 14

Combine like terms: -2 + 14 = 12
12y = 12

Divide each side by '12'.
y = 1

Simplifying
y = 1

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