3y+11=1.5y-3

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Solution for 3y+11=1.5y-3 equation:


Simplifying
3y + 11 = 1.5y + -3

Reorder the terms:
11 + 3y = 1.5y + -3

Reorder the terms:
11 + 3y = -3 + 1.5y

Solving
11 + 3y = -3 + 1.5y

Solving for variable 'y'.

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

Add '-1.5y' to each side of the equation.
11 + 3y + -1.5y = -3 + 1.5y + -1.5y

Combine like terms: 3y + -1.5y = 1.5y
11 + 1.5y = -3 + 1.5y + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
11 + 1.5y = -3 + 0.0
11 + 1.5y = -3

Add '-11' to each side of the equation.
11 + -11 + 1.5y = -3 + -11

Combine like terms: 11 + -11 = 0
0 + 1.5y = -3 + -11
1.5y = -3 + -11

Combine like terms: -3 + -11 = -14
1.5y = -14

Divide each side by '1.5'.
y = -9.333333333

Simplifying
y = -9.333333333

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