-7-3(-y+9)=-7(2y+6)-3

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Solution for -7-3(-y+9)=-7(2y+6)-3 equation:


Simplifying
-7 + -3(-1y + 9) = -7(2y + 6) + -3

Reorder the terms:
-7 + -3(9 + -1y) = -7(2y + 6) + -3
-7 + (9 * -3 + -1y * -3) = -7(2y + 6) + -3
-7 + (-27 + 3y) = -7(2y + 6) + -3

Combine like terms: -7 + -27 = -34
-34 + 3y = -7(2y + 6) + -3

Reorder the terms:
-34 + 3y = -7(6 + 2y) + -3
-34 + 3y = (6 * -7 + 2y * -7) + -3
-34 + 3y = (-42 + -14y) + -3

Reorder the terms:
-34 + 3y = -42 + -3 + -14y

Combine like terms: -42 + -3 = -45
-34 + 3y = -45 + -14y

Solving
-34 + 3y = -45 + -14y

Solving for variable 'y'.

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

Add '14y' to each side of the equation.
-34 + 3y + 14y = -45 + -14y + 14y

Combine like terms: 3y + 14y = 17y
-34 + 17y = -45 + -14y + 14y

Combine like terms: -14y + 14y = 0
-34 + 17y = -45 + 0
-34 + 17y = -45

Add '34' to each side of the equation.
-34 + 34 + 17y = -45 + 34

Combine like terms: -34 + 34 = 0
0 + 17y = -45 + 34
17y = -45 + 34

Combine like terms: -45 + 34 = -11
17y = -11

Divide each side by '17'.
y = -0.6470588235

Simplifying
y = -0.6470588235

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