4y-12+3.5y+1=7y-4.5-1.5y

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Solution for 4y-12+3.5y+1=7y-4.5-1.5y equation: 


Simplifying
4y + -12 + 3.5y + 1 = 7y + -4.5 + -1.5y

Reorder the terms:
-12 + 1 + 4y + 3.5y = 7y + -4.5 + -1.5y

Combine like terms: -12 + 1 = -11
-11 + 4y + 3.5y = 7y + -4.5 + -1.5y

Combine like terms: 4y + 3.5y = 7.5y
-11 + 7.5y = 7y + -4.5 + -1.5y

Reorder the terms:
-11 + 7.5y = -4.5 + 7y + -1.5y

Combine like terms: 7y + -1.5y = 5.5y
-11 + 7.5y = -4.5 + 5.5y

Solving
-11 + 7.5y = -4.5 + 5.5y

Solving for variable 'y'.

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

Add '-5.5y' to each side of the equation.
-11 + 7.5y + -5.5y = -4.5 + 5.5y + -5.5y

Combine like terms: 7.5y + -5.5y = 2y
-11 + 2y = -4.5 + 5.5y + -5.5y

Combine like terms: 5.5y + -5.5y = 0.0
-11 + 2y = -4.5 + 0.0
-11 + 2y = -4.5

Add '11' to each side of the equation.
-11 + 11 + 2y = -4.5 + 11

Combine like terms: -11 + 11 = 0
0 + 2y = -4.5 + 11
2y = -4.5 + 11

Combine like terms: -4.5 + 11 = 6.5
2y = 6.5

Divide each side by '2'.
y = 3.25

Simplifying
y = 3.25

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