3(y-1.5)=-y+4

Solution for 3(y-1.5)=-y+4 equation:

Simplifying
3(y + -1.5) = -1y + 4

Reorder the terms:
3(-1.5 + y) = -1y + 4
(-1.5 * 3 + y * 3) = -1y + 4
(-4.5 + 3y) = -1y + 4

Reorder the terms:
-4.5 + 3y = 4 + -1y

Solving
-4.5 + 3y = 4 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-4.5 + 3y + y = 4 + -1y + y

Combine like terms: 3y + y = 4y
-4.5 + 4y = 4 + -1y + y

Combine like terms: -1y + y = 0
-4.5 + 4y = 4 + 0
-4.5 + 4y = 4

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 4y = 4 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 4y = 4 + 4.5
4y = 4 + 4.5

Combine like terms: 4 + 4.5 = 8.5
4y = 8.5

Divide each side by '4'.
y = 2.125

Simplifying
y = 2.125