3(y+4)=7y-5

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Solution for 3(y+4)=7y-5 equation: 


Simplifying
3(y + 4) = 7y + -5

Reorder the terms:
3(4 + y) = 7y + -5
(4 * 3 + y * 3) = 7y + -5
(12 + 3y) = 7y + -5

Reorder the terms:
12 + 3y = -5 + 7y

Solving
12 + 3y = -5 + 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.
12 + 3y + -7y = -5 + 7y + -7y

Combine like terms: 3y + -7y = -4y
12 + -4y = -5 + 7y + -7y

Combine like terms: 7y + -7y = 0
12 + -4y = -5 + 0
12 + -4y = -5

Add '-12' to each side of the equation.
12 + -12 + -4y = -5 + -12

Combine like terms: 12 + -12 = 0
0 + -4y = -5 + -12
-4y = -5 + -12

Combine like terms: -5 + -12 = -17
-4y = -17

Divide each side by '-4'.
y = 4.25

Simplifying
y = 4.25

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