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

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


Simplifying
4y + 2 = 8y + -1(6y + -10)

Reorder the terms:
2 + 4y = 8y + -1(6y + -10)

Reorder the terms:
2 + 4y = 8y + -1(-10 + 6y)
2 + 4y = 8y + (-10 * -1 + 6y * -1)
2 + 4y = 8y + (10 + -6y)

Reorder the terms:
2 + 4y = 10 + 8y + -6y

Combine like terms: 8y + -6y = 2y
2 + 4y = 10 + 2y

Solving
2 + 4y = 10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
2 + 4y + -2y = 10 + 2y + -2y

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

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

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

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

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

Divide each side by '2'.
y = 4

Simplifying
y = 4

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