2-3(y-8)=7-6y

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Solution for 2-3(y-8)=7-6y equation:


Simplifying
2 + -3(y + -8) = 7 + -6y

Reorder the terms:
2 + -3(-8 + y) = 7 + -6y
2 + (-8 * -3 + y * -3) = 7 + -6y
2 + (24 + -3y) = 7 + -6y

Combine like terms: 2 + 24 = 26
26 + -3y = 7 + -6y

Solving
26 + -3y = 7 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
26 + -3y + 6y = 7 + -6y + 6y

Combine like terms: -3y + 6y = 3y
26 + 3y = 7 + -6y + 6y

Combine like terms: -6y + 6y = 0
26 + 3y = 7 + 0
26 + 3y = 7

Add '-26' to each side of the equation.
26 + -26 + 3y = 7 + -26

Combine like terms: 26 + -26 = 0
0 + 3y = 7 + -26
3y = 7 + -26

Combine like terms: 7 + -26 = -19
3y = -19

Divide each side by '3'.
y = -6.333333333

Simplifying
y = -6.333333333

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