.33(y+7)=3(y-1)

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

Simplifying
0.33(y + 7) = 3(y + -1)

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

Reorder the terms:
2.31 + 0.33y = 3(-1 + y)
2.31 + 0.33y = (-1 * 3 + y * 3)
2.31 + 0.33y = (-3 + 3y)

Solving
2.31 + 0.33y = -3 + 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 = -3 + 3y + -3y

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

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

Add '-2.31' to each side of the equation.
2.31 + -2.31 + -2.67y = -3 + -2.31

Combine like terms: 2.31 + -2.31 = 0.00
0.00 + -2.67y = -3 + -2.31
-2.67y = -3 + -2.31

Combine like terms: -3 + -2.31 = -5.31
-2.67y = -5.31

Divide each side by '-2.67'.
y = 1.988764045

Simplifying
y = 1.988764045