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

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


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

Reorder the terms:
9 + -4(7 + 3y) = 4 + -7y
9 + (7 * -4 + 3y * -4) = 4 + -7y
9 + (-28 + -12y) = 4 + -7y

Combine like terms: 9 + -28 = -19
-19 + -12y = 4 + -7y

Solving
-19 + -12y = 4 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-19 + -12y + 7y = 4 + -7y + 7y

Combine like terms: -12y + 7y = -5y
-19 + -5y = 4 + -7y + 7y

Combine like terms: -7y + 7y = 0
-19 + -5y = 4 + 0
-19 + -5y = 4

Add '19' to each side of the equation.
-19 + 19 + -5y = 4 + 19

Combine like terms: -19 + 19 = 0
0 + -5y = 4 + 19
-5y = 4 + 19

Combine like terms: 4 + 19 = 23
-5y = 23

Divide each side by '-5'.
y = -4.6

Simplifying
y = -4.6

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