5y-2(y+5)=-1(2y+15)+y

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Solution for 5y-2(y+5)=-1(2y+15)+y equation: 


Simplifying
5y + -2(y + 5) = -1(2y + 15) + y

Reorder the terms:
5y + -2(5 + y) = -1(2y + 15) + y
5y + (5 * -2 + y * -2) = -1(2y + 15) + y
5y + (-10 + -2y) = -1(2y + 15) + y

Reorder the terms:
-10 + 5y + -2y = -1(2y + 15) + y

Combine like terms: 5y + -2y = 3y
-10 + 3y = -1(2y + 15) + y

Reorder the terms:
-10 + 3y = -1(15 + 2y) + y
-10 + 3y = (15 * -1 + 2y * -1) + y
-10 + 3y = (-15 + -2y) + y

Combine like terms: -2y + y = -1y
-10 + 3y = -15 + -1y

Solving
-10 + 3y = -15 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-10 + 3y + y = -15 + -1y + y

Combine like terms: 3y + y = 4y
-10 + 4y = -15 + -1y + y

Combine like terms: -1y + y = 0
-10 + 4y = -15 + 0
-10 + 4y = -15

Add '10' to each side of the equation.
-10 + 10 + 4y = -15 + 10

Combine like terms: -10 + 10 = 0
0 + 4y = -15 + 10
4y = -15 + 10

Combine like terms: -15 + 10 = -5
4y = -5

Divide each side by '4'.
y = -1.25

Simplifying
y = -1.25

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