6(y-2)-1=-2(-2y+5)-4y

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Solution for 6(y-2)-1=-2(-2y+5)-4y equation:


Simplifying
6(y + -2) + -1 = -2(-2y + 5) + -4y

Reorder the terms:
6(-2 + y) + -1 = -2(-2y + 5) + -4y
(-2 * 6 + y * 6) + -1 = -2(-2y + 5) + -4y
(-12 + 6y) + -1 = -2(-2y + 5) + -4y

Reorder the terms:
-12 + -1 + 6y = -2(-2y + 5) + -4y

Combine like terms: -12 + -1 = -13
-13 + 6y = -2(-2y + 5) + -4y

Reorder the terms:
-13 + 6y = -2(5 + -2y) + -4y
-13 + 6y = (5 * -2 + -2y * -2) + -4y
-13 + 6y = (-10 + 4y) + -4y

Combine like terms: 4y + -4y = 0
-13 + 6y = -10 + 0
-13 + 6y = -10

Solving
-13 + 6y = -10

Solving for variable 'y'.

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

Add '13' to each side of the equation.
-13 + 13 + 6y = -10 + 13

Combine like terms: -13 + 13 = 0
0 + 6y = -10 + 13
6y = -10 + 13

Combine like terms: -10 + 13 = 3
6y = 3

Divide each side by '6'.
y = 0.5

Simplifying
y = 0.5

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