2.1(4.6+1.3y)=10.68y+-18.32

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Solution for 2.1(4.6+1.3y)=10.68y+-18.32 equation: 


Simplifying
2.1(4.6 + 1.3y) = 10.68y + -18.32
(4.6 * 2.1 + 1.3y * 2.1) = 10.68y + -18.32
(9.66 + 2.73y) = 10.68y + -18.32

Reorder the terms:
9.66 + 2.73y = -18.32 + 10.68y

Solving
9.66 + 2.73y = -18.32 + 10.68y

Solving for variable 'y'.

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

Add '-10.68y' to each side of the equation.
9.66 + 2.73y + -10.68y = -18.32 + 10.68y + -10.68y

Combine like terms: 2.73y + -10.68y = -7.95y
9.66 + -7.95y = -18.32 + 10.68y + -10.68y

Combine like terms: 10.68y + -10.68y = 0.00
9.66 + -7.95y = -18.32 + 0.00
9.66 + -7.95y = -18.32

Add '-9.66' to each side of the equation.
9.66 + -9.66 + -7.95y = -18.32 + -9.66

Combine like terms: 9.66 + -9.66 = 0.00
0.00 + -7.95y = -18.32 + -9.66
-7.95y = -18.32 + -9.66

Combine like terms: -18.32 + -9.66 = -27.98
-7.95y = -27.98

Divide each side by '-7.95'.
y = 3.519496855

Simplifying
y = 3.519496855

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