2(y-5)=4(y+2)-10

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Solution for 2(y-5)=4(y+2)-10 equation: 


Simplifying
2(y + -5) = 4(y + 2) + -10

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

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

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

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

Solving
-10 + 2y = -2 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-10 + 2y + -4y = -2 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-10 + -2y = -2 + 4y + -4y

Combine like terms: 4y + -4y = 0
-10 + -2y = -2 + 0
-10 + -2y = -2

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

Combine like terms: -10 + 10 = 0
0 + -2y = -2 + 10
-2y = -2 + 10

Combine like terms: -2 + 10 = 8
-2y = 8

Divide each side by '-2'.
y = -4

Simplifying
y = -4

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