y-2+5(y-4)=y+8

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Solution for y-2+5(y-4)=y+8 equation:


Simplifying
y + -2 + 5(y + -4) = y + 8

Reorder the terms:
y + -2 + 5(-4 + y) = y + 8
y + -2 + (-4 * 5 + y * 5) = y + 8
y + -2 + (-20 + 5y) = y + 8

Reorder the terms:
-2 + -20 + y + 5y = y + 8

Combine like terms: -2 + -20 = -22
-22 + y + 5y = y + 8

Combine like terms: y + 5y = 6y
-22 + 6y = y + 8

Reorder the terms:
-22 + 6y = 8 + y

Solving
-22 + 6y = 8 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-22 + 6y + -1y = 8 + y + -1y

Combine like terms: 6y + -1y = 5y
-22 + 5y = 8 + y + -1y

Combine like terms: y + -1y = 0
-22 + 5y = 8 + 0
-22 + 5y = 8

Add '22' to each side of the equation.
-22 + 22 + 5y = 8 + 22

Combine like terms: -22 + 22 = 0
0 + 5y = 8 + 22
5y = 8 + 22

Combine like terms: 8 + 22 = 30
5y = 30

Divide each side by '5'.
y = 6

Simplifying
y = 6

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