.33(y+7)+6=.25(3x-1)-1

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Solution for .33(y+7)+6=.25(3x-1)-1 equation: 


Simplifying
0.33(y + 7) + 6 = 0.25(3x + -1) + -1

Reorder the terms:
0.33(7 + y) + 6 = 0.25(3x + -1) + -1
(7 * 0.33 + y * 0.33) + 6 = 0.25(3x + -1) + -1
(2.31 + 0.33y) + 6 = 0.25(3x + -1) + -1

Reorder the terms:
2.31 + 6 + 0.33y = 0.25(3x + -1) + -1

Combine like terms: 2.31 + 6 = 8.31
8.31 + 0.33y = 0.25(3x + -1) + -1

Reorder the terms:
8.31 + 0.33y = 0.25(-1 + 3x) + -1
8.31 + 0.33y = (-1 * 0.25 + 3x * 0.25) + -1
8.31 + 0.33y = (-0.25 + 0.75x) + -1

Reorder the terms:
8.31 + 0.33y = -0.25 + -1 + 0.75x

Combine like terms: -0.25 + -1 = -1.25
8.31 + 0.33y = -1.25 + 0.75x

Solving
8.31 + 0.33y = -1.25 + 0.75x

Solving for variable 'y'.

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

Add '-8.31' to each side of the equation.
8.31 + -8.31 + 0.33y = -1.25 + -8.31 + 0.75x

Combine like terms: 8.31 + -8.31 = 0.00
0.00 + 0.33y = -1.25 + -8.31 + 0.75x
0.33y = -1.25 + -8.31 + 0.75x

Combine like terms: -1.25 + -8.31 = -9.56
0.33y = -9.56 + 0.75x

Divide each side by '0.33'.
y = -28.96969697 + 2.272727273x

Simplifying
y = -28.96969697 + 2.272727273x

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