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

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


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

Reorder the terms:
7y + -8(-3 + 2y) + 2 = 8
7y + (-3 * -8 + 2y * -8) + 2 = 8
7y + (24 + -16y) + 2 = 8

Reorder the terms:
24 + 2 + 7y + -16y = 8

Combine like terms: 24 + 2 = 26
26 + 7y + -16y = 8

Combine like terms: 7y + -16y = -9y
26 + -9y = 8

Solving
26 + -9y = 8

Solving for variable 'y'.

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

Add '-26' to each side of the equation.
26 + -26 + -9y = 8 + -26

Combine like terms: 26 + -26 = 0
0 + -9y = 8 + -26
-9y = 8 + -26

Combine like terms: 8 + -26 = -18
-9y = -18

Divide each side by '-9'.
y = 2

Simplifying
y = 2

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