6y-2=4.5y+7

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Solution for 6y-2=4.5y+7 equation: 


Simplifying
6y + -2 = 4.5y + 7

Reorder the terms:
-2 + 6y = 4.5y + 7

Reorder the terms:
-2 + 6y = 7 + 4.5y

Solving
-2 + 6y = 7 + 4.5y

Solving for variable 'y'.

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

Add '-4.5y' to each side of the equation.
-2 + 6y + -4.5y = 7 + 4.5y + -4.5y

Combine like terms: 6y + -4.5y = 1.5y
-2 + 1.5y = 7 + 4.5y + -4.5y

Combine like terms: 4.5y + -4.5y = 0.0
-2 + 1.5y = 7 + 0.0
-2 + 1.5y = 7

Add '2' to each side of the equation.
-2 + 2 + 1.5y = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 1.5y = 7 + 2
1.5y = 7 + 2

Combine like terms: 7 + 2 = 9
1.5y = 9

Divide each side by '1.5'.
y = 6

Simplifying
y = 6

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