4(y-6)=6(8+y)

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Solution for 4(y-6)=6(8+y) equation:


Simplifying
4(y + -6) = 6(8 + y)

Reorder the terms:
4(-6 + y) = 6(8 + y)
(-6 * 4 + y * 4) = 6(8 + y)
(-24 + 4y) = 6(8 + y)
-24 + 4y = (8 * 6 + y * 6)
-24 + 4y = (48 + 6y)

Solving
-24 + 4y = 48 + 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.
-24 + 4y + -6y = 48 + 6y + -6y

Combine like terms: 4y + -6y = -2y
-24 + -2y = 48 + 6y + -6y

Combine like terms: 6y + -6y = 0
-24 + -2y = 48 + 0
-24 + -2y = 48

Add '24' to each side of the equation.
-24 + 24 + -2y = 48 + 24

Combine like terms: -24 + 24 = 0
0 + -2y = 48 + 24
-2y = 48 + 24

Combine like terms: 48 + 24 = 72
-2y = 72

Divide each side by '-2'.
y = -36

Simplifying
y = -36

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