y+0.7y-4.5=2.3(y-3)

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Solution for y+0.7y-4.5=2.3(y-3) equation:


Simplifying
y + 0.7y + -4.5 = 2.3(y + -3)

Reorder the terms:
-4.5 + y + 0.7y = 2.3(y + -3)

Combine like terms: y + 0.7y = 1.7y
-4.5 + 1.7y = 2.3(y + -3)

Reorder the terms:
-4.5 + 1.7y = 2.3(-3 + y)
-4.5 + 1.7y = (-3 * 2.3 + y * 2.3)
-4.5 + 1.7y = (-6.9 + 2.3y)

Solving
-4.5 + 1.7y = -6.9 + 2.3y

Solving for variable 'y'.

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

Add '-2.3y' to each side of the equation.
-4.5 + 1.7y + -2.3y = -6.9 + 2.3y + -2.3y

Combine like terms: 1.7y + -2.3y = -0.6y
-4.5 + -0.6y = -6.9 + 2.3y + -2.3y

Combine like terms: 2.3y + -2.3y = 0.0
-4.5 + -0.6y = -6.9 + 0.0
-4.5 + -0.6y = -6.9

Add '4.5' to each side of the equation.
-4.5 + 4.5 + -0.6y = -6.9 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + -0.6y = -6.9 + 4.5
-0.6y = -6.9 + 4.5

Combine like terms: -6.9 + 4.5 = -2.4
-0.6y = -2.4

Divide each side by '-0.6'.
y = 4

Simplifying
y = 4

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