7-.6(y+4)=.08(4y-7)+1.85

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Solution for 7-.6(y+4)=.08(4y-7)+1.85 equation:


Simplifying
7 + -0.6(y + 4) = 0.08(4y + -7) + 1.85

Reorder the terms:
7 + -0.6(4 + y) = 0.08(4y + -7) + 1.85
7 + (4 * -0.6 + y * -0.6) = 0.08(4y + -7) + 1.85
7 + (-2.4 + -0.6y) = 0.08(4y + -7) + 1.85

Combine like terms: 7 + -2.4 = 4.6
4.6 + -0.6y = 0.08(4y + -7) + 1.85

Reorder the terms:
4.6 + -0.6y = 0.08(-7 + 4y) + 1.85
4.6 + -0.6y = (-7 * 0.08 + 4y * 0.08) + 1.85
4.6 + -0.6y = (-0.56 + 0.32y) + 1.85

Reorder the terms:
4.6 + -0.6y = -0.56 + 1.85 + 0.32y

Combine like terms: -0.56 + 1.85 = 1.29
4.6 + -0.6y = 1.29 + 0.32y

Solving
4.6 + -0.6y = 1.29 + 0.32y

Solving for variable 'y'.

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

Add '-0.32y' to each side of the equation.
4.6 + -0.6y + -0.32y = 1.29 + 0.32y + -0.32y

Combine like terms: -0.6y + -0.32y = -0.92y
4.6 + -0.92y = 1.29 + 0.32y + -0.32y

Combine like terms: 0.32y + -0.32y = 0.00
4.6 + -0.92y = 1.29 + 0.00
4.6 + -0.92y = 1.29

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -0.92y = 1.29 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -0.92y = 1.29 + -4.6
-0.92y = 1.29 + -4.6

Combine like terms: 1.29 + -4.6 = -3.31
-0.92y = -3.31

Divide each side by '-0.92'.
y = 3.597826087

Simplifying
y = 3.597826087

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