5y+2=5(10y+4)

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Solution for 5y+2=5(10y+4) equation:


Simplifying
5y + 2 = 5(10y + 4)

Reorder the terms:
2 + 5y = 5(10y + 4)

Reorder the terms:
2 + 5y = 5(4 + 10y)
2 + 5y = (4 * 5 + 10y * 5)
2 + 5y = (20 + 50y)

Solving
2 + 5y = 20 + 50y

Solving for variable 'y'.

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

Add '-50y' to each side of the equation.
2 + 5y + -50y = 20 + 50y + -50y

Combine like terms: 5y + -50y = -45y
2 + -45y = 20 + 50y + -50y

Combine like terms: 50y + -50y = 0
2 + -45y = 20 + 0
2 + -45y = 20

Add '-2' to each side of the equation.
2 + -2 + -45y = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -45y = 20 + -2
-45y = 20 + -2

Combine like terms: 20 + -2 = 18
-45y = 18

Divide each side by '-45'.
y = -0.4

Simplifying
y = -0.4

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