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

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


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

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

Reorder the terms:
-4 + 7y = 9(4 + 3y)
-4 + 7y = (4 * 9 + 3y * 9)
-4 + 7y = (36 + 27y)

Solving
-4 + 7y = 36 + 27y

Solving for variable 'y'.

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

Add '-27y' to each side of the equation.
-4 + 7y + -27y = 36 + 27y + -27y

Combine like terms: 7y + -27y = -20y
-4 + -20y = 36 + 27y + -27y

Combine like terms: 27y + -27y = 0
-4 + -20y = 36 + 0
-4 + -20y = 36

Add '4' to each side of the equation.
-4 + 4 + -20y = 36 + 4

Combine like terms: -4 + 4 = 0
0 + -20y = 36 + 4
-20y = 36 + 4

Combine like terms: 36 + 4 = 40
-20y = 40

Divide each side by '-20'.
y = -2

Simplifying
y = -2

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