1.5y-2=5(y+1)

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Solution for 1.5y-2=5(y+1) equation: 


Simplifying
1.5y + -2 = 5(y + 1)

Reorder the terms:
-2 + 1.5y = 5(y + 1)

Reorder the terms:
-2 + 1.5y = 5(1 + y)
-2 + 1.5y = (1 * 5 + y * 5)
-2 + 1.5y = (5 + 5y)

Solving
-2 + 1.5y = 5 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-2 + 1.5y + -5y = 5 + 5y + -5y

Combine like terms: 1.5y + -5y = -3.5y
-2 + -3.5y = 5 + 5y + -5y

Combine like terms: 5y + -5y = 0
-2 + -3.5y = 5 + 0
-2 + -3.5y = 5

Add '2' to each side of the equation.
-2 + 2 + -3.5y = 5 + 2

Combine like terms: -2 + 2 = 0
0 + -3.5y = 5 + 2
-3.5y = 5 + 2

Combine like terms: 5 + 2 = 7
-3.5y = 7

Divide each side by '-3.5'.
y = -2

Simplifying
y = -2

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