3+2(7y-8)=-2(2y-1)+8y

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Solution for 3+2(7y-8)=-2(2y-1)+8y equation:


Simplifying
3 + 2(7y + -8) = -2(2y + -1) + 8y

Reorder the terms:
3 + 2(-8 + 7y) = -2(2y + -1) + 8y
3 + (-8 * 2 + 7y * 2) = -2(2y + -1) + 8y
3 + (-16 + 14y) = -2(2y + -1) + 8y

Combine like terms: 3 + -16 = -13
-13 + 14y = -2(2y + -1) + 8y

Reorder the terms:
-13 + 14y = -2(-1 + 2y) + 8y
-13 + 14y = (-1 * -2 + 2y * -2) + 8y
-13 + 14y = (2 + -4y) + 8y

Combine like terms: -4y + 8y = 4y
-13 + 14y = 2 + 4y

Solving
-13 + 14y = 2 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-13 + 14y + -4y = 2 + 4y + -4y

Combine like terms: 14y + -4y = 10y
-13 + 10y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
-13 + 10y = 2 + 0
-13 + 10y = 2

Add '13' to each side of the equation.
-13 + 13 + 10y = 2 + 13

Combine like terms: -13 + 13 = 0
0 + 10y = 2 + 13
10y = 2 + 13

Combine like terms: 2 + 13 = 15
10y = 15

Divide each side by '10'.
y = 1.5

Simplifying
y = 1.5

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