8.4=y+-4.6

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Solution for 8.4=y+-4.6 equation: 


Simplifying
8.4 = y + -4.6

Reorder the terms:
8.4 = -4.6 + y

Solving
8.4 = -4.6 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
8.4 + -1y = -4.6 + y + -1y

Combine like terms: y + -1y = 0
8.4 + -1y = -4.6 + 0
8.4 + -1y = -4.6

Add '-8.4' to each side of the equation.
8.4 + -8.4 + -1y = -4.6 + -8.4

Combine like terms: 8.4 + -8.4 = 0.0
0.0 + -1y = -4.6 + -8.4
-1y = -4.6 + -8.4

Combine like terms: -4.6 + -8.4 = -13
-1y = -13

Divide each side by '-1'.
y = 13

Simplifying
y = 13

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