4(y-1)+6y-4=30-5y

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Solution for 4(y-1)+6y-4=30-5y equation: 


Simplifying
4(y + -1) + 6y + -4 = 30 + -5y

Reorder the terms:
4(-1 + y) + 6y + -4 = 30 + -5y
(-1 * 4 + y * 4) + 6y + -4 = 30 + -5y
(-4 + 4y) + 6y + -4 = 30 + -5y

Reorder the terms:
-4 + -4 + 4y + 6y = 30 + -5y

Combine like terms: -4 + -4 = -8
-8 + 4y + 6y = 30 + -5y

Combine like terms: 4y + 6y = 10y
-8 + 10y = 30 + -5y

Solving
-8 + 10y = 30 + -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.
-8 + 10y + 5y = 30 + -5y + 5y

Combine like terms: 10y + 5y = 15y
-8 + 15y = 30 + -5y + 5y

Combine like terms: -5y + 5y = 0
-8 + 15y = 30 + 0
-8 + 15y = 30

Add '8' to each side of the equation.
-8 + 8 + 15y = 30 + 8

Combine like terms: -8 + 8 = 0
0 + 15y = 30 + 8
15y = 30 + 8

Combine like terms: 30 + 8 = 38
15y = 38

Divide each side by '15'.
y = 2.533333333

Simplifying
y = 2.533333333

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