3(y-10)+1=1.93(y-8)

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Solution for 3(y-10)+1=1.93(y-8) equation: 


Simplifying
3(y + -10) + 1 = 1.93(y + -8)

Reorder the terms:
3(-10 + y) + 1 = 1.93(y + -8)
(-10 * 3 + y * 3) + 1 = 1.93(y + -8)
(-30 + 3y) + 1 = 1.93(y + -8)

Reorder the terms:
-30 + 1 + 3y = 1.93(y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3y = 1.93(y + -8)

Reorder the terms:
-29 + 3y = 1.93(-8 + y)
-29 + 3y = (-8 * 1.93 + y * 1.93)
-29 + 3y = (-15.44 + 1.93y)

Solving
-29 + 3y = -15.44 + 1.93y

Solving for variable 'y'.

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

Add '-1.93y' to each side of the equation.
-29 + 3y + -1.93y = -15.44 + 1.93y + -1.93y

Combine like terms: 3y + -1.93y = 1.07y
-29 + 1.07y = -15.44 + 1.93y + -1.93y

Combine like terms: 1.93y + -1.93y = 0.00
-29 + 1.07y = -15.44 + 0.00
-29 + 1.07y = -15.44

Add '29' to each side of the equation.
-29 + 29 + 1.07y = -15.44 + 29

Combine like terms: -29 + 29 = 0
0 + 1.07y = -15.44 + 29
1.07y = -15.44 + 29

Combine like terms: -15.44 + 29 = 13.56
1.07y = 13.56

Divide each side by '1.07'.
y = 12.6728972

Simplifying
y = 12.6728972

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