-21-(2y-1)=2(y-2)+4y

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Solution for -21-(2y-1)=2(y-2)+4y equation:


Simplifying
-21 + -1(2y + -1) = 2(y + -2) + 4y

Reorder the terms:
-21 + -1(-1 + 2y) = 2(y + -2) + 4y
-21 + (-1 * -1 + 2y * -1) = 2(y + -2) + 4y
-21 + (1 + -2y) = 2(y + -2) + 4y

Combine like terms: -21 + 1 = -20
-20 + -2y = 2(y + -2) + 4y

Reorder the terms:
-20 + -2y = 2(-2 + y) + 4y
-20 + -2y = (-2 * 2 + y * 2) + 4y
-20 + -2y = (-4 + 2y) + 4y

Combine like terms: 2y + 4y = 6y
-20 + -2y = -4 + 6y

Solving
-20 + -2y = -4 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-20 + -2y + -6y = -4 + 6y + -6y

Combine like terms: -2y + -6y = -8y
-20 + -8y = -4 + 6y + -6y

Combine like terms: 6y + -6y = 0
-20 + -8y = -4 + 0
-20 + -8y = -4

Add '20' to each side of the equation.
-20 + 20 + -8y = -4 + 20

Combine like terms: -20 + 20 = 0
0 + -8y = -4 + 20
-8y = -4 + 20

Combine like terms: -4 + 20 = 16
-8y = 16

Divide each side by '-8'.
y = -2

Simplifying
y = -2

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