6(y-3)=4(y+8)

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Solution for 6(y-3)=4(y+8) equation: 


Simplifying
6(y + -3) = 4(y + 8)

Reorder the terms:
6(-3 + y) = 4(y + 8)
(-3 * 6 + y * 6) = 4(y + 8)
(-18 + 6y) = 4(y + 8)

Reorder the terms:
-18 + 6y = 4(8 + y)
-18 + 6y = (8 * 4 + y * 4)
-18 + 6y = (32 + 4y)

Solving
-18 + 6y = 32 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-18 + 6y + -4y = 32 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-18 + 2y = 32 + 4y + -4y

Combine like terms: 4y + -4y = 0
-18 + 2y = 32 + 0
-18 + 2y = 32

Add '18' to each side of the equation.
-18 + 18 + 2y = 32 + 18

Combine like terms: -18 + 18 = 0
0 + 2y = 32 + 18
2y = 32 + 18

Combine like terms: 32 + 18 = 50
2y = 50

Divide each side by '2'.
y = 25

Simplifying
y = 25

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