(13y-4)-(5y-16)=

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Solution for (13y-4)-(5y-16)= equation:


Simplifying
(13y + -4) + -1(5y + -16) = 0

Reorder the terms:
(-4 + 13y) + -1(5y + -16) = 0

Remove parenthesis around (-4 + 13y)
-4 + 13y + -1(5y + -16) = 0

Reorder the terms:
-4 + 13y + -1(-16 + 5y) = 0
-4 + 13y + (-16 * -1 + 5y * -1) = 0
-4 + 13y + (16 + -5y) = 0

Reorder the terms:
-4 + 16 + 13y + -5y = 0

Combine like terms: -4 + 16 = 12
12 + 13y + -5y = 0

Combine like terms: 13y + -5y = 8y
12 + 8y = 0

Solving
12 + 8y = 0

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 8y = 0 + -12

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

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

Divide each side by '8'.
y = -1.5

Simplifying
y = -1.5

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