y-284=-5y-8

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Solution for y-284=-5y-8 equation:


Simplifying
y + -284 = -5y + -8

Reorder the terms:
-284 + y = -5y + -8

Reorder the terms:
-284 + y = -8 + -5y

Solving
-284 + y = -8 + -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.
-284 + y + 5y = -8 + -5y + 5y

Combine like terms: y + 5y = 6y
-284 + 6y = -8 + -5y + 5y

Combine like terms: -5y + 5y = 0
-284 + 6y = -8 + 0
-284 + 6y = -8

Add '284' to each side of the equation.
-284 + 284 + 6y = -8 + 284

Combine like terms: -284 + 284 = 0
0 + 6y = -8 + 284
6y = -8 + 284

Combine like terms: -8 + 284 = 276
6y = 276

Divide each side by '6'.
y = 46

Simplifying
y = 46

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