5.5(y-10)=3.4y+12

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Solution for 5.5(y-10)=3.4y+12 equation:


Simplifying
5.5(y + -10) = 3.4y + 12

Reorder the terms:
5.5(-10 + y) = 3.4y + 12
(-10 * 5.5 + y * 5.5) = 3.4y + 12
(-55 + 5.5y) = 3.4y + 12

Reorder the terms:
-55 + 5.5y = 12 + 3.4y

Solving
-55 + 5.5y = 12 + 3.4y

Solving for variable 'y'.

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

Add '-3.4y' to each side of the equation.
-55 + 5.5y + -3.4y = 12 + 3.4y + -3.4y

Combine like terms: 5.5y + -3.4y = 2.1y
-55 + 2.1y = 12 + 3.4y + -3.4y

Combine like terms: 3.4y + -3.4y = 0.0
-55 + 2.1y = 12 + 0.0
-55 + 2.1y = 12

Add '55' to each side of the equation.
-55 + 55 + 2.1y = 12 + 55

Combine like terms: -55 + 55 = 0
0 + 2.1y = 12 + 55
2.1y = 12 + 55

Combine like terms: 12 + 55 = 67
2.1y = 67

Divide each side by '2.1'.
y = 31.9047619

Simplifying
y = 31.9047619

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