-0.75*(-2y+5)+3=0.4*(y-1)*4

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Solution for -0.75*(-2y+5)+3=0.4*(y-1)*4 equation:


Simplifying
-0.75(-2y + 5) + 3 = 0.4(y + -1) * 4

Reorder the terms:
-0.75(5 + -2y) + 3 = 0.4(y + -1) * 4
(5 * -0.75 + -2y * -0.75) + 3 = 0.4(y + -1) * 4
(-3.75 + 1.5y) + 3 = 0.4(y + -1) * 4

Reorder the terms:
-3.75 + 3 + 1.5y = 0.4(y + -1) * 4

Combine like terms: -3.75 + 3 = -0.75
-0.75 + 1.5y = 0.4(y + -1) * 4

Reorder the terms:
-0.75 + 1.5y = 0.4(-1 + y) * 4

Reorder the terms for easier multiplication:
-0.75 + 1.5y = 0.4 * 4(-1 + y)

Multiply 0.4 * 4
-0.75 + 1.5y = 1.6(-1 + y)
-0.75 + 1.5y = (-1 * 1.6 + y * 1.6)
-0.75 + 1.5y = (-1.6 + 1.6y)

Solving
-0.75 + 1.5y = -1.6 + 1.6y

Solving for variable 'y'.

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

Add '-1.6y' to each side of the equation.
-0.75 + 1.5y + -1.6y = -1.6 + 1.6y + -1.6y

Combine like terms: 1.5y + -1.6y = -0.1y
-0.75 + -0.1y = -1.6 + 1.6y + -1.6y

Combine like terms: 1.6y + -1.6y = 0.0
-0.75 + -0.1y = -1.6 + 0.0
-0.75 + -0.1y = -1.6

Add '0.75' to each side of the equation.
-0.75 + 0.75 + -0.1y = -1.6 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + -0.1y = -1.6 + 0.75
-0.1y = -1.6 + 0.75

Combine like terms: -1.6 + 0.75 = -0.85
-0.1y = -0.85

Divide each side by '-0.1'.
y = 8.5

Simplifying
y = 8.5

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