-8(y-4)=-5y+14

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Solution for -8(y-4)=-5y+14 equation:


Simplifying
-8(y + -4) = -5y + 14

Reorder the terms:
-8(-4 + y) = -5y + 14
(-4 * -8 + y * -8) = -5y + 14
(32 + -8y) = -5y + 14

Reorder the terms:
32 + -8y = 14 + -5y

Solving
32 + -8y = 14 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
32 + -8y + 5y = 14 + -5y + 5y

Combine like terms: -8y + 5y = -3y
32 + -3y = 14 + -5y + 5y

Combine like terms: -5y + 5y = 0
32 + -3y = 14 + 0
32 + -3y = 14

Add '-32' to each side of the equation.
32 + -32 + -3y = 14 + -32

Combine like terms: 32 + -32 = 0
0 + -3y = 14 + -32
-3y = 14 + -32

Combine like terms: 14 + -32 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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