5y-2(y-5)=7-7(Y-6)

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Solution for 5y-2(y-5)=7-7(Y-6) equation: 


Simplifying
5y + -2(y + -5) = 7 + -7(Y + -6)

Reorder the terms:
5y + -2(-5 + y) = 7 + -7(Y + -6)
5y + (-5 * -2 + y * -2) = 7 + -7(Y + -6)
5y + (10 + -2y) = 7 + -7(Y + -6)

Reorder the terms:
10 + 5y + -2y = 7 + -7(Y + -6)

Combine like terms: 5y + -2y = 3y
10 + 3y = 7 + -7(Y + -6)

Reorder the terms:
10 + 3y = 7 + -7(-6 + Y)
10 + 3y = 7 + (-6 * -7 + Y * -7)
10 + 3y = 7 + (42 + -7Y)

Combine like terms: 7 + 42 = 49
10 + 3y = 49 + -7Y

Solving
10 + 3y = 49 + -7Y

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 3y = 49 + -10 + -7Y

Combine like terms: 10 + -10 = 0
0 + 3y = 49 + -10 + -7Y
3y = 49 + -10 + -7Y

Combine like terms: 49 + -10 = 39
3y = 39 + -7Y

Divide each side by '3'.
y = 13 + -2.333333333Y

Simplifying
y = 13 + -2.333333333Y

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