6.21y+3-4.5y+1.45=-3.5y+6.2-2.8+y

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Solution for 6.21y+3-4.5y+1.45=-3.5y+6.2-2.8+y equation: 


Simplifying
6.21y + 3 + -4.5y + 1.45 = -3.5y + 6.2 + -2.8 + y

Reorder the terms:
3 + 1.45 + 6.21y + -4.5y = -3.5y + 6.2 + -2.8 + y

Combine like terms: 3 + 1.45 = 4.45
4.45 + 6.21y + -4.5y = -3.5y + 6.2 + -2.8 + y

Combine like terms: 6.21y + -4.5y = 1.71y
4.45 + 1.71y = -3.5y + 6.2 + -2.8 + y

Reorder the terms:
4.45 + 1.71y = 6.2 + -2.8 + -3.5y + y

Combine like terms: 6.2 + -2.8 = 3.4
4.45 + 1.71y = 3.4 + -3.5y + y

Combine like terms: -3.5y + y = -2.5y
4.45 + 1.71y = 3.4 + -2.5y

Solving
4.45 + 1.71y = 3.4 + -2.5y

Solving for variable 'y'.

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

Add '2.5y' to each side of the equation.
4.45 + 1.71y + 2.5y = 3.4 + -2.5y + 2.5y

Combine like terms: 1.71y + 2.5y = 4.21y
4.45 + 4.21y = 3.4 + -2.5y + 2.5y

Combine like terms: -2.5y + 2.5y = 0.0
4.45 + 4.21y = 3.4 + 0.0
4.45 + 4.21y = 3.4

Add '-4.45' to each side of the equation.
4.45 + -4.45 + 4.21y = 3.4 + -4.45

Combine like terms: 4.45 + -4.45 = 0.00
0.00 + 4.21y = 3.4 + -4.45
4.21y = 3.4 + -4.45

Combine like terms: 3.4 + -4.45 = -1.05
4.21y = -1.05

Divide each side by '4.21'.
y = -0.2494061758

Simplifying
y = -0.2494061758

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