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

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


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

Reorder the terms:
9(2 + 3y) = 7(4y + 7)
(2 * 9 + 3y * 9) = 7(4y + 7)
(18 + 27y) = 7(4y + 7)

Reorder the terms:
18 + 27y = 7(7 + 4y)
18 + 27y = (7 * 7 + 4y * 7)
18 + 27y = (49 + 28y)

Solving
18 + 27y = 49 + 28y

Solving for variable 'y'.

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

Add '-28y' to each side of the equation.
18 + 27y + -28y = 49 + 28y + -28y

Combine like terms: 27y + -28y = -1y
18 + -1y = 49 + 28y + -28y

Combine like terms: 28y + -28y = 0
18 + -1y = 49 + 0
18 + -1y = 49

Add '-18' to each side of the equation.
18 + -18 + -1y = 49 + -18

Combine like terms: 18 + -18 = 0
0 + -1y = 49 + -18
-1y = 49 + -18

Combine like terms: 49 + -18 = 31
-1y = 31

Divide each side by '-1'.
y = -31

Simplifying
y = -31

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