5y-2y+10=-2(2y+15)+y

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Solution for 5y-2y+10=-2(2y+15)+y equation: 


Simplifying
5y + -2y + 10 = -2(2y + 15) + y

Reorder the terms:
10 + 5y + -2y = -2(2y + 15) + y

Combine like terms: 5y + -2y = 3y
10 + 3y = -2(2y + 15) + y

Reorder the terms:
10 + 3y = -2(15 + 2y) + y
10 + 3y = (15 * -2 + 2y * -2) + y
10 + 3y = (-30 + -4y) + y

Combine like terms: -4y + y = -3y
10 + 3y = -30 + -3y

Solving
10 + 3y = -30 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
10 + 3y + 3y = -30 + -3y + 3y

Combine like terms: 3y + 3y = 6y
10 + 6y = -30 + -3y + 3y

Combine like terms: -3y + 3y = 0
10 + 6y = -30 + 0
10 + 6y = -30

Add '-10' to each side of the equation.
10 + -10 + 6y = -30 + -10

Combine like terms: 10 + -10 = 0
0 + 6y = -30 + -10
6y = -30 + -10

Combine like terms: -30 + -10 = -40
6y = -40

Divide each side by '6'.
y = -6.666666667

Simplifying
y = -6.666666667

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