1.4(6.4y-3.5)=-9.54y+33.85

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Solution for 1.4(6.4y-3.5)=-9.54y+33.85 equation:


Simplifying
1.4(6.4y + -3.5) = -9.54y + 33.85

Reorder the terms:
1.4(-3.5 + 6.4y) = -9.54y + 33.85
(-3.5 * 1.4 + 6.4y * 1.4) = -9.54y + 33.85
(-4.9 + 8.96y) = -9.54y + 33.85

Reorder the terms:
-4.9 + 8.96y = 33.85 + -9.54y

Solving
-4.9 + 8.96y = 33.85 + -9.54y

Solving for variable 'y'.

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

Add '9.54y' to each side of the equation.
-4.9 + 8.96y + 9.54y = 33.85 + -9.54y + 9.54y

Combine like terms: 8.96y + 9.54y = 18.5y
-4.9 + 18.5y = 33.85 + -9.54y + 9.54y

Combine like terms: -9.54y + 9.54y = 0.00
-4.9 + 18.5y = 33.85 + 0.00
-4.9 + 18.5y = 33.85

Add '4.9' to each side of the equation.
-4.9 + 4.9 + 18.5y = 33.85 + 4.9

Combine like terms: -4.9 + 4.9 = 0.0
0.0 + 18.5y = 33.85 + 4.9
18.5y = 33.85 + 4.9

Combine like terms: 33.85 + 4.9 = 38.75
18.5y = 38.75

Divide each side by '18.5'.
y = 2.094594595

Simplifying
y = 2.094594595

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