y+0.5y-0.9=3.8(y+4)

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Solution for y+0.5y-0.9=3.8(y+4) equation:


Simplifying
y + 0.5y + -0.9 = 3.8(y + 4)

Reorder the terms:
-0.9 + y + 0.5y = 3.8(y + 4)

Combine like terms: y + 0.5y = 1.5y
-0.9 + 1.5y = 3.8(y + 4)

Reorder the terms:
-0.9 + 1.5y = 3.8(4 + y)
-0.9 + 1.5y = (4 * 3.8 + y * 3.8)
-0.9 + 1.5y = (15.2 + 3.8y)

Solving
-0.9 + 1.5y = 15.2 + 3.8y

Solving for variable 'y'.

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

Add '-3.8y' to each side of the equation.
-0.9 + 1.5y + -3.8y = 15.2 + 3.8y + -3.8y

Combine like terms: 1.5y + -3.8y = -2.3y
-0.9 + -2.3y = 15.2 + 3.8y + -3.8y

Combine like terms: 3.8y + -3.8y = 0.0
-0.9 + -2.3y = 15.2 + 0.0
-0.9 + -2.3y = 15.2

Add '0.9' to each side of the equation.
-0.9 + 0.9 + -2.3y = 15.2 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + -2.3y = 15.2 + 0.9
-2.3y = 15.2 + 0.9

Combine like terms: 15.2 + 0.9 = 16.1
-2.3y = 16.1

Divide each side by '-2.3'.
y = -7

Simplifying
y = -7

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