7y+28=9(y+4)

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Solution for 7y+28=9(y+4) equation:


Simplifying
7y + 28 = 9(y + 4)

Reorder the terms:
28 + 7y = 9(y + 4)

Reorder the terms:
28 + 7y = 9(4 + y)
28 + 7y = (4 * 9 + y * 9)
28 + 7y = (36 + 9y)

Solving
28 + 7y = 36 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
28 + 7y + -9y = 36 + 9y + -9y

Combine like terms: 7y + -9y = -2y
28 + -2y = 36 + 9y + -9y

Combine like terms: 9y + -9y = 0
28 + -2y = 36 + 0
28 + -2y = 36

Add '-28' to each side of the equation.
28 + -28 + -2y = 36 + -28

Combine like terms: 28 + -28 = 0
0 + -2y = 36 + -28
-2y = 36 + -28

Combine like terms: 36 + -28 = 8
-2y = 8

Divide each side by '-2'.
y = -4

Simplifying
y = -4

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