2y-(4y-5)=21

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Solution for 2y-(4y-5)=21 equation:


Simplifying
2y + -1(4y + -5) = 21

Reorder the terms:
2y + -1(-5 + 4y) = 21
2y + (-5 * -1 + 4y * -1) = 21
2y + (5 + -4y) = 21

Reorder the terms:
5 + 2y + -4y = 21

Combine like terms: 2y + -4y = -2y
5 + -2y = 21

Solving
5 + -2y = 21

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + -2y = 21 + -5

Combine like terms: 5 + -5 = 0
0 + -2y = 21 + -5
-2y = 21 + -5

Combine like terms: 21 + -5 = 16
-2y = 16

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

Simplifying
y = -8

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