y+23y+2.9=5(y+6.7)

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Solution for y+23y+2.9=5(y+6.7) equation:


Simplifying
y + 23y + 2.9 = 5(y + 6.7)

Reorder the terms:
2.9 + y + 23y = 5(y + 6.7)

Combine like terms: y + 23y = 24y
2.9 + 24y = 5(y + 6.7)

Reorder the terms:
2.9 + 24y = 5(6.7 + y)
2.9 + 24y = (6.7 * 5 + y * 5)
2.9 + 24y = (33.5 + 5y)

Solving
2.9 + 24y = 33.5 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
2.9 + 24y + -5y = 33.5 + 5y + -5y

Combine like terms: 24y + -5y = 19y
2.9 + 19y = 33.5 + 5y + -5y

Combine like terms: 5y + -5y = 0
2.9 + 19y = 33.5 + 0
2.9 + 19y = 33.5

Add '-2.9' to each side of the equation.
2.9 + -2.9 + 19y = 33.5 + -2.9

Combine like terms: 2.9 + -2.9 = 0.0
0.0 + 19y = 33.5 + -2.9
19y = 33.5 + -2.9

Combine like terms: 33.5 + -2.9 = 30.6
19y = 30.6

Divide each side by '19'.
y = 1.610526316

Simplifying
y = 1.610526316

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