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

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


Simplifying
-1y + -7(4y + -9) = 2 + -3(-3 + -1y)

Reorder the terms:
-1y + -7(-9 + 4y) = 2 + -3(-3 + -1y)
-1y + (-9 * -7 + 4y * -7) = 2 + -3(-3 + -1y)
-1y + (63 + -28y) = 2 + -3(-3 + -1y)

Reorder the terms:
63 + -1y + -28y = 2 + -3(-3 + -1y)

Combine like terms: -1y + -28y = -29y
63 + -29y = 2 + -3(-3 + -1y)
63 + -29y = 2 + (-3 * -3 + -1y * -3)
63 + -29y = 2 + (9 + 3y)

Combine like terms: 2 + 9 = 11
63 + -29y = 11 + 3y

Solving
63 + -29y = 11 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
63 + -29y + -3y = 11 + 3y + -3y

Combine like terms: -29y + -3y = -32y
63 + -32y = 11 + 3y + -3y

Combine like terms: 3y + -3y = 0
63 + -32y = 11 + 0
63 + -32y = 11

Add '-63' to each side of the equation.
63 + -63 + -32y = 11 + -63

Combine like terms: 63 + -63 = 0
0 + -32y = 11 + -63
-32y = 11 + -63

Combine like terms: 11 + -63 = -52
-32y = -52

Divide each side by '-32'.
y = 1.625

Simplifying
y = 1.625

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