2(y-5)=3y+1-2(-4y-2)

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Solution for 2(y-5)=3y+1-2(-4y-2) equation: 


Simplifying
2(y + -5) = 3y + 1 + -2(-4y + -2)

Reorder the terms:
2(-5 + y) = 3y + 1 + -2(-4y + -2)
(-5 * 2 + y * 2) = 3y + 1 + -2(-4y + -2)
(-10 + 2y) = 3y + 1 + -2(-4y + -2)

Reorder the terms:
-10 + 2y = 3y + 1 + -2(-2 + -4y)
-10 + 2y = 3y + 1 + (-2 * -2 + -4y * -2)
-10 + 2y = 3y + 1 + (4 + 8y)

Reorder the terms:
-10 + 2y = 1 + 4 + 3y + 8y

Combine like terms: 1 + 4 = 5
-10 + 2y = 5 + 3y + 8y

Combine like terms: 3y + 8y = 11y
-10 + 2y = 5 + 11y

Solving
-10 + 2y = 5 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
-10 + 2y + -11y = 5 + 11y + -11y

Combine like terms: 2y + -11y = -9y
-10 + -9y = 5 + 11y + -11y

Combine like terms: 11y + -11y = 0
-10 + -9y = 5 + 0
-10 + -9y = 5

Add '10' to each side of the equation.
-10 + 10 + -9y = 5 + 10

Combine like terms: -10 + 10 = 0
0 + -9y = 5 + 10
-9y = 5 + 10

Combine like terms: 5 + 10 = 15
-9y = 15

Divide each side by '-9'.
y = -1.666666667

Simplifying
y = -1.666666667

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