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

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


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

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

Reorder the terms:
2 + 5y = 2(4 + 10y)
2 + 5y = (4 * 2 + 10y * 2)
2 + 5y = (8 + 20y)

Solving
2 + 5y = 8 + 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.
2 + 5y + -20y = 8 + 20y + -20y

Combine like terms: 5y + -20y = -15y
2 + -15y = 8 + 20y + -20y

Combine like terms: 20y + -20y = 0
2 + -15y = 8 + 0
2 + -15y = 8

Add '-2' to each side of the equation.
2 + -2 + -15y = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -15y = 8 + -2
-15y = 8 + -2

Combine like terms: 8 + -2 = 6
-15y = 6

Divide each side by '-15'.
y = -0.4

Simplifying
y = -0.4

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