(5+2y)2=25+20y+(4)2

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Solution for (5+2y)2=25+20y+(4)2 equation:


Simplifying
(5 + 2y) * 2 = 25 + 20y + (4) * 2

Reorder the terms for easier multiplication:
2(5 + 2y) = 25 + 20y + (4) * 2
(5 * 2 + 2y * 2) = 25 + 20y + (4) * 2
(10 + 4y) = 25 + 20y + (4) * 2

Multiply 4 * 2
10 + 4y = 25 + 20y + 8

Reorder the terms:
10 + 4y = 25 + 8 + 20y

Combine like terms: 25 + 8 = 33
10 + 4y = 33 + 20y

Solving
10 + 4y = 33 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
10 + 4y + -20y = 33 + 20y + -20y

Combine like terms: 4y + -20y = -16y
10 + -16y = 33 + 20y + -20y

Combine like terms: 20y + -20y = 0
10 + -16y = 33 + 0
10 + -16y = 33

Add '-10' to each side of the equation.
10 + -10 + -16y = 33 + -10

Combine like terms: 10 + -10 = 0
0 + -16y = 33 + -10
-16y = 33 + -10

Combine like terms: 33 + -10 = 23
-16y = 23

Divide each side by '-16'.
y = -1.4375

Simplifying
y = -1.4375

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