2(y-5)-5y=8-3(5y-2)

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Solution for 2(y-5)-5y=8-3(5y-2) equation:


Simplifying
2(y + -5) + -5y = 8 + -3(5y + -2)

Reorder the terms:
2(-5 + y) + -5y = 8 + -3(5y + -2)
(-5 * 2 + y * 2) + -5y = 8 + -3(5y + -2)
(-10 + 2y) + -5y = 8 + -3(5y + -2)

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

Reorder the terms:
-10 + -3y = 8 + -3(-2 + 5y)
-10 + -3y = 8 + (-2 * -3 + 5y * -3)
-10 + -3y = 8 + (6 + -15y)

Combine like terms: 8 + 6 = 14
-10 + -3y = 14 + -15y

Solving
-10 + -3y = 14 + -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
-10 + -3y + 15y = 14 + -15y + 15y

Combine like terms: -3y + 15y = 12y
-10 + 12y = 14 + -15y + 15y

Combine like terms: -15y + 15y = 0
-10 + 12y = 14 + 0
-10 + 12y = 14

Add '10' to each side of the equation.
-10 + 10 + 12y = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 12y = 14 + 10
12y = 14 + 10

Combine like terms: 14 + 10 = 24
12y = 24

Divide each side by '12'.
y = 2

Simplifying
y = 2

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