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

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


Simplifying
5(y + -2) + -4y = 8y + -1(2 + y)

Reorder the terms:
5(-2 + y) + -4y = 8y + -1(2 + y)
(-2 * 5 + y * 5) + -4y = 8y + -1(2 + y)
(-10 + 5y) + -4y = 8y + -1(2 + y)

Combine like terms: 5y + -4y = 1y
-10 + 1y = 8y + -1(2 + y)
-10 + 1y = 8y + (2 * -1 + y * -1)
-10 + 1y = 8y + (-2 + -1y)

Reorder the terms:
-10 + 1y = -2 + 8y + -1y

Combine like terms: 8y + -1y = 7y
-10 + 1y = -2 + 7y

Solving
-10 + 1y = -2 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-10 + 1y + -7y = -2 + 7y + -7y

Combine like terms: 1y + -7y = -6y
-10 + -6y = -2 + 7y + -7y

Combine like terms: 7y + -7y = 0
-10 + -6y = -2 + 0
-10 + -6y = -2

Add '10' to each side of the equation.
-10 + 10 + -6y = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -6y = -2 + 10
-6y = -2 + 10

Combine like terms: -2 + 10 = 8
-6y = 8

Divide each side by '-6'.
y = -1.333333333

Simplifying
y = -1.333333333

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