(5y-2)-(8y+3)=16

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Solution for (5y-2)-(8y+3)=16 equation:


Simplifying
(5y + -2) + -1(8y + 3) = 16

Reorder the terms:
(-2 + 5y) + -1(8y + 3) = 16

Remove parenthesis around (-2 + 5y)
-2 + 5y + -1(8y + 3) = 16

Reorder the terms:
-2 + 5y + -1(3 + 8y) = 16
-2 + 5y + (3 * -1 + 8y * -1) = 16
-2 + 5y + (-3 + -8y) = 16

Reorder the terms:
-2 + -3 + 5y + -8y = 16

Combine like terms: -2 + -3 = -5
-5 + 5y + -8y = 16

Combine like terms: 5y + -8y = -3y
-5 + -3y = 16

Solving
-5 + -3y = 16

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 + -3y = 16 + 5

Combine like terms: -5 + 5 = 0
0 + -3y = 16 + 5
-3y = 16 + 5

Combine like terms: 16 + 5 = 21
-3y = 21

Divide each side by '-3'.
y = -7

Simplifying
y = -7

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