.33(y-6)=0.22(y+18)

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Solution for .33(y-6)=0.22(y+18) equation: 


Simplifying
0.33(y + -6) = 0.22(y + 18)

Reorder the terms:
0.33(-6 + y) = 0.22(y + 18)
(-6 * 0.33 + y * 0.33) = 0.22(y + 18)
(-1.98 + 0.33y) = 0.22(y + 18)

Reorder the terms:
-1.98 + 0.33y = 0.22(18 + y)
-1.98 + 0.33y = (18 * 0.22 + y * 0.22)
-1.98 + 0.33y = (3.96 + 0.22y)

Solving
-1.98 + 0.33y = 3.96 + 0.22y

Solving for variable 'y'.

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

Add '-0.22y' to each side of the equation.
-1.98 + 0.33y + -0.22y = 3.96 + 0.22y + -0.22y

Combine like terms: 0.33y + -0.22y = 0.11y
-1.98 + 0.11y = 3.96 + 0.22y + -0.22y

Combine like terms: 0.22y + -0.22y = 0.00
-1.98 + 0.11y = 3.96 + 0.00
-1.98 + 0.11y = 3.96

Add '1.98' to each side of the equation.
-1.98 + 1.98 + 0.11y = 3.96 + 1.98

Combine like terms: -1.98 + 1.98 = 0.00
0.00 + 0.11y = 3.96 + 1.98
0.11y = 3.96 + 1.98

Combine like terms: 3.96 + 1.98 = 5.94
0.11y = 5.94

Divide each side by '0.11'.
y = 54

Simplifying
y = 54

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