10y-[10(5-y)-14]=5y+2(7-5y)

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Solution for 10y-[10(5-y)-14]=5y+2(7-5y) equation:


Simplifying
10y + -1[10(5 + -1y) + -14] = 5y + 2(7 + -5y)
10y + -1[(5 * 10 + -1y * 10) + -14] = 5y + 2(7 + -5y)
10y + -1[(50 + -10y) + -14] = 5y + 2(7 + -5y)

Reorder the terms:
10y + -1[50 + -14 + -10y] = 5y + 2(7 + -5y)

Combine like terms: 50 + -14 = 36
10y + -1[36 + -10y] = 5y + 2(7 + -5y)
10y + [36 * -1 + -10y * -1] = 5y + 2(7 + -5y)
10y + [-36 + 10y] = 5y + 2(7 + -5y)

Reorder the terms:
-36 + 10y + 10y = 5y + 2(7 + -5y)

Combine like terms: 10y + 10y = 20y
-36 + 20y = 5y + 2(7 + -5y)
-36 + 20y = 5y + (7 * 2 + -5y * 2)
-36 + 20y = 5y + (14 + -10y)

Reorder the terms:
-36 + 20y = 14 + 5y + -10y

Combine like terms: 5y + -10y = -5y
-36 + 20y = 14 + -5y

Solving
-36 + 20y = 14 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-36 + 20y + 5y = 14 + -5y + 5y

Combine like terms: 20y + 5y = 25y
-36 + 25y = 14 + -5y + 5y

Combine like terms: -5y + 5y = 0
-36 + 25y = 14 + 0
-36 + 25y = 14

Add '36' to each side of the equation.
-36 + 36 + 25y = 14 + 36

Combine like terms: -36 + 36 = 0
0 + 25y = 14 + 36
25y = 14 + 36

Combine like terms: 14 + 36 = 50
25y = 50

Divide each side by '25'.
y = 2

Simplifying
y = 2

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