.33(y+7)=3(y-7)

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Solution for .33(y+7)=3(y-7) equation: 


Simplifying
0.33(y + 7) = 3(y + -7)

Reorder the terms:
0.33(7 + y) = 3(y + -7)
(7 * 0.33 + y * 0.33) = 3(y + -7)
(2.31 + 0.33y) = 3(y + -7)

Reorder the terms:
2.31 + 0.33y = 3(-7 + y)
2.31 + 0.33y = (-7 * 3 + y * 3)
2.31 + 0.33y = (-21 + 3y)

Solving
2.31 + 0.33y = -21 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
2.31 + 0.33y + -3y = -21 + 3y + -3y

Combine like terms: 0.33y + -3y = -2.67y
2.31 + -2.67y = -21 + 3y + -3y

Combine like terms: 3y + -3y = 0
2.31 + -2.67y = -21 + 0
2.31 + -2.67y = -21

Add '-2.31' to each side of the equation.
2.31 + -2.31 + -2.67y = -21 + -2.31

Combine like terms: 2.31 + -2.31 = 0.00
0.00 + -2.67y = -21 + -2.31
-2.67y = -21 + -2.31

Combine like terms: -21 + -2.31 = -23.31
-2.67y = -23.31

Divide each side by '-2.67'.
y = 8.730337079

Simplifying
y = 8.730337079

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