-4(y+3)-(9-8y)=-13

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Solution for -4(y+3)-(9-8y)=-13 equation:


Simplifying
-4(y + 3) + -1(9 + -8y) = -13

Reorder the terms:
-4(3 + y) + -1(9 + -8y) = -13
(3 * -4 + y * -4) + -1(9 + -8y) = -13
(-12 + -4y) + -1(9 + -8y) = -13
-12 + -4y + (9 * -1 + -8y * -1) = -13
-12 + -4y + (-9 + 8y) = -13

Reorder the terms:
-12 + -9 + -4y + 8y = -13

Combine like terms: -12 + -9 = -21
-21 + -4y + 8y = -13

Combine like terms: -4y + 8y = 4y
-21 + 4y = -13

Solving
-21 + 4y = -13

Solving for variable 'y'.

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

Add '21' to each side of the equation.
-21 + 21 + 4y = -13 + 21

Combine like terms: -21 + 21 = 0
0 + 4y = -13 + 21
4y = -13 + 21

Combine like terms: -13 + 21 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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