(5.5y+7)3=6.5y-7

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Solution for (5.5y+7)3=6.5y-7 equation:


Simplifying
(5.5y + 7) * 3 = 6.5y + -7

Reorder the terms:
(7 + 5.5y) * 3 = 6.5y + -7

Reorder the terms for easier multiplication:
3(7 + 5.5y) = 6.5y + -7
(7 * 3 + 5.5y * 3) = 6.5y + -7
(21 + 16.5y) = 6.5y + -7

Reorder the terms:
21 + 16.5y = -7 + 6.5y

Solving
21 + 16.5y = -7 + 6.5y

Solving for variable 'y'.

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

Add '-6.5y' to each side of the equation.
21 + 16.5y + -6.5y = -7 + 6.5y + -6.5y

Combine like terms: 16.5y + -6.5y = 10y
21 + 10y = -7 + 6.5y + -6.5y

Combine like terms: 6.5y + -6.5y = 0.0
21 + 10y = -7 + 0.0
21 + 10y = -7

Add '-21' to each side of the equation.
21 + -21 + 10y = -7 + -21

Combine like terms: 21 + -21 = 0
0 + 10y = -7 + -21
10y = -7 + -21

Combine like terms: -7 + -21 = -28
10y = -28

Divide each side by '10'.
y = -2.8

Simplifying
y = -2.8

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