7(y-9)=2(3y+4)-71

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Solution for 7(y-9)=2(3y+4)-71 equation:


Simplifying
7(y + -9) = 2(3y + 4) + -71

Reorder the terms:
7(-9 + y) = 2(3y + 4) + -71
(-9 * 7 + y * 7) = 2(3y + 4) + -71
(-63 + 7y) = 2(3y + 4) + -71

Reorder the terms:
-63 + 7y = 2(4 + 3y) + -71
-63 + 7y = (4 * 2 + 3y * 2) + -71
-63 + 7y = (8 + 6y) + -71

Reorder the terms:
-63 + 7y = 8 + -71 + 6y

Combine like terms: 8 + -71 = -63
-63 + 7y = -63 + 6y

Add '63' to each side of the equation.
-63 + 63 + 7y = -63 + 63 + 6y

Combine like terms: -63 + 63 = 0
0 + 7y = -63 + 63 + 6y
7y = -63 + 63 + 6y

Combine like terms: -63 + 63 = 0
7y = 0 + 6y
7y = 6y

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

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

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

Divide each side by '1'.
y = 0

Simplifying
y = 0

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