3(y+8)=7y+4

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Solution for 3(y+8)=7y+4 equation:


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

Reorder the terms:
3(8 + y) = 7y + 4
(8 * 3 + y * 3) = 7y + 4
(24 + 3y) = 7y + 4

Reorder the terms:
24 + 3y = 4 + 7y

Solving
24 + 3y = 4 + 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 + 3y + -7y = 4 + 7y + -7y

Combine like terms: 3y + -7y = -4y
24 + -4y = 4 + 7y + -7y

Combine like terms: 7y + -7y = 0
24 + -4y = 4 + 0
24 + -4y = 4

Add '-24' to each side of the equation.
24 + -24 + -4y = 4 + -24

Combine like terms: 24 + -24 = 0
0 + -4y = 4 + -24
-4y = 4 + -24

Combine like terms: 4 + -24 = -20
-4y = -20

Divide each side by '-4'.
y = 5

Simplifying
y = 5

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