(4y+5)2=y+9

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Solution for (4y+5)2=y+9 equation:


Simplifying
(4y + 5) * 2 = y + 9

Reorder the terms:
(5 + 4y) * 2 = y + 9

Reorder the terms for easier multiplication:
2(5 + 4y) = y + 9
(5 * 2 + 4y * 2) = y + 9
(10 + 8y) = y + 9

Reorder the terms:
10 + 8y = 9 + y

Solving
10 + 8y = 9 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
10 + 8y + -1y = 9 + y + -1y

Combine like terms: 8y + -1y = 7y
10 + 7y = 9 + y + -1y

Combine like terms: y + -1y = 0
10 + 7y = 9 + 0
10 + 7y = 9

Add '-10' to each side of the equation.
10 + -10 + 7y = 9 + -10

Combine like terms: 10 + -10 = 0
0 + 7y = 9 + -10
7y = 9 + -10

Combine like terms: 9 + -10 = -1
7y = -1

Divide each side by '7'.
y = -0.1428571429

Simplifying
y = -0.1428571429

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