6-0.5(y-1)=0.7(4y-1)

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Solution for 6-0.5(y-1)=0.7(4y-1) equation:


Simplifying
6 + -0.5(y + -1) = 0.7(4y + -1)

Reorder the terms:
6 + -0.5(-1 + y) = 0.7(4y + -1)
6 + (-1 * -0.5 + y * -0.5) = 0.7(4y + -1)
6 + (0.5 + -0.5y) = 0.7(4y + -1)

Combine like terms: 6 + 0.5 = 6.5
6.5 + -0.5y = 0.7(4y + -1)

Reorder the terms:
6.5 + -0.5y = 0.7(-1 + 4y)
6.5 + -0.5y = (-1 * 0.7 + 4y * 0.7)
6.5 + -0.5y = (-0.7 + 2.8y)

Solving
6.5 + -0.5y = -0.7 + 2.8y

Solving for variable 'y'.

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

Add '-2.8y' to each side of the equation.
6.5 + -0.5y + -2.8y = -0.7 + 2.8y + -2.8y

Combine like terms: -0.5y + -2.8y = -3.3y
6.5 + -3.3y = -0.7 + 2.8y + -2.8y

Combine like terms: 2.8y + -2.8y = 0.0
6.5 + -3.3y = -0.7 + 0.0
6.5 + -3.3y = -0.7

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -3.3y = -0.7 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -3.3y = -0.7 + -6.5
-3.3y = -0.7 + -6.5

Combine like terms: -0.7 + -6.5 = -7.2
-3.3y = -7.2

Divide each side by '-3.3'.
y = 2.181818182

Simplifying
y = 2.181818182

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