6(y+4)=7y+38

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Solution for 6(y+4)=7y+38 equation:


Simplifying
6(y + 4) = 7y + 38

Reorder the terms:
6(4 + y) = 7y + 38
(4 * 6 + y * 6) = 7y + 38
(24 + 6y) = 7y + 38

Reorder the terms:
24 + 6y = 38 + 7y

Solving
24 + 6y = 38 + 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.
24 + 6y + -7y = 38 + 7y + -7y

Combine like terms: 6y + -7y = -1y
24 + -1y = 38 + 7y + -7y

Combine like terms: 7y + -7y = 0
24 + -1y = 38 + 0
24 + -1y = 38

Add '-24' to each side of the equation.
24 + -24 + -1y = 38 + -24

Combine like terms: 24 + -24 = 0
0 + -1y = 38 + -24
-1y = 38 + -24

Combine like terms: 38 + -24 = 14
-1y = 14

Divide each side by '-1'.
y = -14

Simplifying
y = -14

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