10y+2=-2(2y-3)

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Solution for 10y+2=-2(2y-3) equation:


Simplifying
10y + 2 = -2(2y + -3)

Reorder the terms:
2 + 10y = -2(2y + -3)

Reorder the terms:
2 + 10y = -2(-3 + 2y)
2 + 10y = (-3 * -2 + 2y * -2)
2 + 10y = (6 + -4y)

Solving
2 + 10y = 6 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
2 + 10y + 4y = 6 + -4y + 4y

Combine like terms: 10y + 4y = 14y
2 + 14y = 6 + -4y + 4y

Combine like terms: -4y + 4y = 0
2 + 14y = 6 + 0
2 + 14y = 6

Add '-2' to each side of the equation.
2 + -2 + 14y = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 14y = 6 + -2
14y = 6 + -2

Combine like terms: 6 + -2 = 4
14y = 4

Divide each side by '14'.
y = 0.2857142857

Simplifying
y = 0.2857142857

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