7(4-y)=5y+22

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Solution for 7(4-y)=5y+22 equation:


Simplifying
7(4 + -1y) = 5y + 22
(4 * 7 + -1y * 7) = 5y + 22
(28 + -7y) = 5y + 22

Reorder the terms:
28 + -7y = 22 + 5y

Solving
28 + -7y = 22 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
28 + -7y + -5y = 22 + 5y + -5y

Combine like terms: -7y + -5y = -12y
28 + -12y = 22 + 5y + -5y

Combine like terms: 5y + -5y = 0
28 + -12y = 22 + 0
28 + -12y = 22

Add '-28' to each side of the equation.
28 + -28 + -12y = 22 + -28

Combine like terms: 28 + -28 = 0
0 + -12y = 22 + -28
-12y = 22 + -28

Combine like terms: 22 + -28 = -6
-12y = -6

Divide each side by '-12'.
y = 0.5

Simplifying
y = 0.5

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