5y+1-6y=3(y+3)

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Solution for 5y+1-6y=3(y+3) equation: 


Simplifying
5y + 1 + -6y = 3(y + 3)

Reorder the terms:
1 + 5y + -6y = 3(y + 3)

Combine like terms: 5y + -6y = -1y
1 + -1y = 3(y + 3)

Reorder the terms:
1 + -1y = 3(3 + y)
1 + -1y = (3 * 3 + y * 3)
1 + -1y = (9 + 3y)

Solving
1 + -1y = 9 + 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.
1 + -1y + -3y = 9 + 3y + -3y

Combine like terms: -1y + -3y = -4y
1 + -4y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
1 + -4y = 9 + 0
1 + -4y = 9

Add '-1' to each side of the equation.
1 + -1 + -4y = 9 + -1

Combine like terms: 1 + -1 = 0
0 + -4y = 9 + -1
-4y = 9 + -1

Combine like terms: 9 + -1 = 8
-4y = 8

Divide each side by '-4'.
y = -2

Simplifying
y = -2

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