9y+2.65=3.8(2y-7)

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Solution for 9y+2.65=3.8(2y-7) equation: 


Simplifying
9y + 2.65 = 3.8(2y + -7)

Reorder the terms:
2.65 + 9y = 3.8(2y + -7)

Reorder the terms:
2.65 + 9y = 3.8(-7 + 2y)
2.65 + 9y = (-7 * 3.8 + 2y * 3.8)
2.65 + 9y = (-26.6 + 7.6y)

Solving
2.65 + 9y = -26.6 + 7.6y

Solving for variable 'y'.

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

Add '-7.6y' to each side of the equation.
2.65 + 9y + -7.6y = -26.6 + 7.6y + -7.6y

Combine like terms: 9y + -7.6y = 1.4y
2.65 + 1.4y = -26.6 + 7.6y + -7.6y

Combine like terms: 7.6y + -7.6y = 0.0
2.65 + 1.4y = -26.6 + 0.0
2.65 + 1.4y = -26.6

Add '-2.65' to each side of the equation.
2.65 + -2.65 + 1.4y = -26.6 + -2.65

Combine like terms: 2.65 + -2.65 = 0.00
0.00 + 1.4y = -26.6 + -2.65
1.4y = -26.6 + -2.65

Combine like terms: -26.6 + -2.65 = -29.25
1.4y = -29.25

Divide each side by '1.4'.
y = -20.89285714

Simplifying
y = -20.89285714

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