2(y-5)=7y+8

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


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

Reorder the terms:
2(-5 + y) = 7y + 8
(-5 * 2 + y * 2) = 7y + 8
(-10 + 2y) = 7y + 8

Reorder the terms:
-10 + 2y = 8 + 7y

Solving
-10 + 2y = 8 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-10 + 2y + -7y = 8 + 7y + -7y

Combine like terms: 2y + -7y = -5y
-10 + -5y = 8 + 7y + -7y

Combine like terms: 7y + -7y = 0
-10 + -5y = 8 + 0
-10 + -5y = 8

Add '10' to each side of the equation.
-10 + 10 + -5y = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -5y = 8 + 10
-5y = 8 + 10

Combine like terms: 8 + 10 = 18
-5y = 18

Divide each side by '-5'.
y = -3.6

Simplifying
y = -3.6

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