-8(y-2)=3y+49

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Solution for -8(y-2)=3y+49 equation:


Simplifying
-8(y + -2) = 3y + 49

Reorder the terms:
-8(-2 + y) = 3y + 49
(-2 * -8 + y * -8) = 3y + 49
(16 + -8y) = 3y + 49

Reorder the terms:
16 + -8y = 49 + 3y

Solving
16 + -8y = 49 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
16 + -8y + -3y = 49 + 3y + -3y

Combine like terms: -8y + -3y = -11y
16 + -11y = 49 + 3y + -3y

Combine like terms: 3y + -3y = 0
16 + -11y = 49 + 0
16 + -11y = 49

Add '-16' to each side of the equation.
16 + -16 + -11y = 49 + -16

Combine like terms: 16 + -16 = 0
0 + -11y = 49 + -16
-11y = 49 + -16

Combine like terms: 49 + -16 = 33
-11y = 33

Divide each side by '-11'.
y = -3

Simplifying
y = -3

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