4(5y-9)-24y+70=41(1-21y)

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Solution for 4(5y-9)-24y+70=41(1-21y) equation: 


Simplifying
4(5y + -9) + -24y + 70 = 41(1 + -21y)

Reorder the terms:
4(-9 + 5y) + -24y + 70 = 41(1 + -21y)
(-9 * 4 + 5y * 4) + -24y + 70 = 41(1 + -21y)
(-36 + 20y) + -24y + 70 = 41(1 + -21y)

Reorder the terms:
-36 + 70 + 20y + -24y = 41(1 + -21y)

Combine like terms: -36 + 70 = 34
34 + 20y + -24y = 41(1 + -21y)

Combine like terms: 20y + -24y = -4y
34 + -4y = 41(1 + -21y)
34 + -4y = (1 * 41 + -21y * 41)
34 + -4y = (41 + -861y)

Solving
34 + -4y = 41 + -861y

Solving for variable 'y'.

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

Add '861y' to each side of the equation.
34 + -4y + 861y = 41 + -861y + 861y

Combine like terms: -4y + 861y = 857y
34 + 857y = 41 + -861y + 861y

Combine like terms: -861y + 861y = 0
34 + 857y = 41 + 0
34 + 857y = 41

Add '-34' to each side of the equation.
34 + -34 + 857y = 41 + -34

Combine like terms: 34 + -34 = 0
0 + 857y = 41 + -34
857y = 41 + -34

Combine like terms: 41 + -34 = 7
857y = 7

Divide each side by '857'.
y = 0.008168028005

Simplifying
y = 0.008168028005

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