-3y-10=4(y+2)+2y

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Solution for -3y-10=4(y+2)+2y equation:


Simplifying
-3y + -10 = 4(y + 2) + 2y

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

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

Combine like terms: 4y + 2y = 6y
-10 + -3y = 8 + 6y

Solving
-10 + -3y = 8 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-10 + -3y + -6y = 8 + 6y + -6y

Combine like terms: -3y + -6y = -9y
-10 + -9y = 8 + 6y + -6y

Combine like terms: 6y + -6y = 0
-10 + -9y = 8 + 0
-10 + -9y = 8

Add '10' to each side of the equation.
-10 + 10 + -9y = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -9y = 8 + 10
-9y = 8 + 10

Combine like terms: 8 + 10 = 18
-9y = 18

Divide each side by '-9'.
y = -2

Simplifying
y = -2

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