8(y+4)=7y+28

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Solution for 8(y+4)=7y+28 equation:


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

Reorder the terms:
8(4 + y) = 7y + 28
(4 * 8 + y * 8) = 7y + 28
(32 + 8y) = 7y + 28

Reorder the terms:
32 + 8y = 28 + 7y

Solving
32 + 8y = 28 + 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.
32 + 8y + -7y = 28 + 7y + -7y

Combine like terms: 8y + -7y = 1y
32 + 1y = 28 + 7y + -7y

Combine like terms: 7y + -7y = 0
32 + 1y = 28 + 0
32 + 1y = 28

Add '-32' to each side of the equation.
32 + -32 + 1y = 28 + -32

Combine like terms: 32 + -32 = 0
0 + 1y = 28 + -32
1y = 28 + -32

Combine like terms: 28 + -32 = -4
1y = -4

Divide each side by '1'.
y = -4

Simplifying
y = -4

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