-47+6y+3=3(3y-5)-5

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Solution for -47+6y+3=3(3y-5)-5 equation:


Simplifying
-47 + 6y + 3 = 3(3y + -5) + -5

Reorder the terms:
-47 + 3 + 6y = 3(3y + -5) + -5

Combine like terms: -47 + 3 = -44
-44 + 6y = 3(3y + -5) + -5

Reorder the terms:
-44 + 6y = 3(-5 + 3y) + -5
-44 + 6y = (-5 * 3 + 3y * 3) + -5
-44 + 6y = (-15 + 9y) + -5

Reorder the terms:
-44 + 6y = -15 + -5 + 9y

Combine like terms: -15 + -5 = -20
-44 + 6y = -20 + 9y

Solving
-44 + 6y = -20 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-44 + 6y + -9y = -20 + 9y + -9y

Combine like terms: 6y + -9y = -3y
-44 + -3y = -20 + 9y + -9y

Combine like terms: 9y + -9y = 0
-44 + -3y = -20 + 0
-44 + -3y = -20

Add '44' to each side of the equation.
-44 + 44 + -3y = -20 + 44

Combine like terms: -44 + 44 = 0
0 + -3y = -20 + 44
-3y = -20 + 44

Combine like terms: -20 + 44 = 24
-3y = 24

Divide each side by '-3'.
y = -8

Simplifying
y = -8

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