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

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


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

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

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

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

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

Combine like terms: -3.5y + -2.8y = -6.3y
4.45 + 1.71y = 6.2 + -6.3y + y

Combine like terms: -6.3y + y = -5.3y
4.45 + 1.71y = 6.2 + -5.3y

Solving
4.45 + 1.71y = 6.2 + -5.3y

Solving for variable 'y'.

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

Add '5.3y' to each side of the equation.
4.45 + 1.71y + 5.3y = 6.2 + -5.3y + 5.3y

Combine like terms: 1.71y + 5.3y = 7.01y
4.45 + 7.01y = 6.2 + -5.3y + 5.3y

Combine like terms: -5.3y + 5.3y = 0.0
4.45 + 7.01y = 6.2 + 0.0
4.45 + 7.01y = 6.2

Add '-4.45' to each side of the equation.
4.45 + -4.45 + 7.01y = 6.2 + -4.45

Combine like terms: 4.45 + -4.45 = 0.00
0.00 + 7.01y = 6.2 + -4.45
7.01y = 6.2 + -4.45

Combine like terms: 6.2 + -4.45 = 1.75
7.01y = 1.75

Divide each side by '7.01'.
y = 0.2496433666

Simplifying
y = 0.2496433666

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