-17(y+3)+6(4y-3)=6(y-6)+10

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Solution for -17(y+3)+6(4y-3)=6(y-6)+10 equation:


Simplifying
-17(y + 3) + 6(4y + -3) = 6(y + -6) + 10

Reorder the terms:
-17(3 + y) + 6(4y + -3) = 6(y + -6) + 10
(3 * -17 + y * -17) + 6(4y + -3) = 6(y + -6) + 10
(-51 + -17y) + 6(4y + -3) = 6(y + -6) + 10

Reorder the terms:
-51 + -17y + 6(-3 + 4y) = 6(y + -6) + 10
-51 + -17y + (-3 * 6 + 4y * 6) = 6(y + -6) + 10
-51 + -17y + (-18 + 24y) = 6(y + -6) + 10

Reorder the terms:
-51 + -18 + -17y + 24y = 6(y + -6) + 10

Combine like terms: -51 + -18 = -69
-69 + -17y + 24y = 6(y + -6) + 10

Combine like terms: -17y + 24y = 7y
-69 + 7y = 6(y + -6) + 10

Reorder the terms:
-69 + 7y = 6(-6 + y) + 10
-69 + 7y = (-6 * 6 + y * 6) + 10
-69 + 7y = (-36 + 6y) + 10

Reorder the terms:
-69 + 7y = -36 + 10 + 6y

Combine like terms: -36 + 10 = -26
-69 + 7y = -26 + 6y

Solving
-69 + 7y = -26 + 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.
-69 + 7y + -6y = -26 + 6y + -6y

Combine like terms: 7y + -6y = 1y
-69 + 1y = -26 + 6y + -6y

Combine like terms: 6y + -6y = 0
-69 + 1y = -26 + 0
-69 + 1y = -26

Add '69' to each side of the equation.
-69 + 69 + 1y = -26 + 69

Combine like terms: -69 + 69 = 0
0 + 1y = -26 + 69
1y = -26 + 69

Combine like terms: -26 + 69 = 43
1y = 43

Divide each side by '1'.
y = 43

Simplifying
y = 43

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