4(1.83y-5.6)-7.4=73.61-4.17y

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Solution for 4(1.83y-5.6)-7.4=73.61-4.17y equation:


Simplifying
4(1.83y + -5.6) + -7.4 = 73.61 + -4.17y

Reorder the terms:
4(-5.6 + 1.83y) + -7.4 = 73.61 + -4.17y
(-5.6 * 4 + 1.83y * 4) + -7.4 = 73.61 + -4.17y
(-22.4 + 7.32y) + -7.4 = 73.61 + -4.17y

Reorder the terms:
-22.4 + -7.4 + 7.32y = 73.61 + -4.17y

Combine like terms: -22.4 + -7.4 = -29.8
-29.8 + 7.32y = 73.61 + -4.17y

Solving
-29.8 + 7.32y = 73.61 + -4.17y

Solving for variable 'y'.

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

Add '4.17y' to each side of the equation.
-29.8 + 7.32y + 4.17y = 73.61 + -4.17y + 4.17y

Combine like terms: 7.32y + 4.17y = 11.49y
-29.8 + 11.49y = 73.61 + -4.17y + 4.17y

Combine like terms: -4.17y + 4.17y = 0.00
-29.8 + 11.49y = 73.61 + 0.00
-29.8 + 11.49y = 73.61

Add '29.8' to each side of the equation.
-29.8 + 29.8 + 11.49y = 73.61 + 29.8

Combine like terms: -29.8 + 29.8 = 0.0
0.0 + 11.49y = 73.61 + 29.8
11.49y = 73.61 + 29.8

Combine like terms: 73.61 + 29.8 = 103.41
11.49y = 103.41

Divide each side by '11.49'.
y = 9

Simplifying
y = 9

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