6(y-3)=5(y+4)

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Solution for 6(y-3)=5(y+4) equation:


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

Reorder the terms:
6(-3 + y) = 5(y + 4)
(-3 * 6 + y * 6) = 5(y + 4)
(-18 + 6y) = 5(y + 4)

Reorder the terms:
-18 + 6y = 5(4 + y)
-18 + 6y = (4 * 5 + y * 5)
-18 + 6y = (20 + 5y)

Solving
-18 + 6y = 20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-18 + 6y + -5y = 20 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-18 + 1y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-18 + 1y = 20 + 0
-18 + 1y = 20

Add '18' to each side of the equation.
-18 + 18 + 1y = 20 + 18

Combine like terms: -18 + 18 = 0
0 + 1y = 20 + 18
1y = 20 + 18

Combine like terms: 20 + 18 = 38
1y = 38

Divide each side by '1'.
y = 38

Simplifying
y = 38

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