2(y-2)=4y+6-2(-4y-1)

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Solution for 2(y-2)=4y+6-2(-4y-1) equation:


Simplifying
2(y + -2) = 4y + 6 + -2(-4y + -1)

Reorder the terms:
2(-2 + y) = 4y + 6 + -2(-4y + -1)
(-2 * 2 + y * 2) = 4y + 6 + -2(-4y + -1)
(-4 + 2y) = 4y + 6 + -2(-4y + -1)

Reorder the terms:
-4 + 2y = 4y + 6 + -2(-1 + -4y)
-4 + 2y = 4y + 6 + (-1 * -2 + -4y * -2)
-4 + 2y = 4y + 6 + (2 + 8y)

Reorder the terms:
-4 + 2y = 6 + 2 + 4y + 8y

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

Combine like terms: 4y + 8y = 12y
-4 + 2y = 8 + 12y

Solving
-4 + 2y = 8 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-4 + 2y + -12y = 8 + 12y + -12y

Combine like terms: 2y + -12y = -10y
-4 + -10y = 8 + 12y + -12y

Combine like terms: 12y + -12y = 0
-4 + -10y = 8 + 0
-4 + -10y = 8

Add '4' to each side of the equation.
-4 + 4 + -10y = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -10y = 8 + 4
-10y = 8 + 4

Combine like terms: 8 + 4 = 12
-10y = 12

Divide each side by '-10'.
y = -1.2

Simplifying
y = -1.2

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