3y-7.6=8.4y-14.6

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Solution for 3y-7.6=8.4y-14.6 equation:


Simplifying
3y + -7.6 = 8.4y + -14.6

Reorder the terms:
-7.6 + 3y = 8.4y + -14.6

Reorder the terms:
-7.6 + 3y = -14.6 + 8.4y

Solving
-7.6 + 3y = -14.6 + 8.4y

Solving for variable 'y'.

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

Add '-8.4y' to each side of the equation.
-7.6 + 3y + -8.4y = -14.6 + 8.4y + -8.4y

Combine like terms: 3y + -8.4y = -5.4y
-7.6 + -5.4y = -14.6 + 8.4y + -8.4y

Combine like terms: 8.4y + -8.4y = 0.0
-7.6 + -5.4y = -14.6 + 0.0
-7.6 + -5.4y = -14.6

Add '7.6' to each side of the equation.
-7.6 + 7.6 + -5.4y = -14.6 + 7.6

Combine like terms: -7.6 + 7.6 = 0.0
0.0 + -5.4y = -14.6 + 7.6
-5.4y = -14.6 + 7.6

Combine like terms: -14.6 + 7.6 = -7
-5.4y = -7

Divide each side by '-5.4'.
y = 1.296296296

Simplifying
y = 1.296296296

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