4y+6(y-8)=4(y+2)-10

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Solution for 4y+6(y-8)=4(y+2)-10 equation: 


Simplifying
4y + 6(y + -8) = 4(y + 2) + -10

Reorder the terms:
4y + 6(-8 + y) = 4(y + 2) + -10
4y + (-8 * 6 + y * 6) = 4(y + 2) + -10
4y + (-48 + 6y) = 4(y + 2) + -10

Reorder the terms:
-48 + 4y + 6y = 4(y + 2) + -10

Combine like terms: 4y + 6y = 10y
-48 + 10y = 4(y + 2) + -10

Reorder the terms:
-48 + 10y = 4(2 + y) + -10
-48 + 10y = (2 * 4 + y * 4) + -10
-48 + 10y = (8 + 4y) + -10

Reorder the terms:
-48 + 10y = 8 + -10 + 4y

Combine like terms: 8 + -10 = -2
-48 + 10y = -2 + 4y

Solving
-48 + 10y = -2 + 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.
-48 + 10y + -4y = -2 + 4y + -4y

Combine like terms: 10y + -4y = 6y
-48 + 6y = -2 + 4y + -4y

Combine like terms: 4y + -4y = 0
-48 + 6y = -2 + 0
-48 + 6y = -2

Add '48' to each side of the equation.
-48 + 48 + 6y = -2 + 48

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

Combine like terms: -2 + 48 = 46
6y = 46

Divide each side by '6'.
y = 7.666666667

Simplifying
y = 7.666666667

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