4(y-7)=3(6+2y)

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Solution for 4(y-7)=3(6+2y) equation: 


Simplifying
4(y + -7) = 3(6 + 2y)

Reorder the terms:
4(-7 + y) = 3(6 + 2y)
(-7 * 4 + y * 4) = 3(6 + 2y)
(-28 + 4y) = 3(6 + 2y)
-28 + 4y = (6 * 3 + 2y * 3)
-28 + 4y = (18 + 6y)

Solving
-28 + 4y = 18 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-28 + 4y + -6y = 18 + 6y + -6y

Combine like terms: 4y + -6y = -2y
-28 + -2y = 18 + 6y + -6y

Combine like terms: 6y + -6y = 0
-28 + -2y = 18 + 0
-28 + -2y = 18

Add '28' to each side of the equation.
-28 + 28 + -2y = 18 + 28

Combine like terms: -28 + 28 = 0
0 + -2y = 18 + 28
-2y = 18 + 28

Combine like terms: 18 + 28 = 46
-2y = 46

Divide each side by '-2'.
y = -23

Simplifying
y = -23

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