2(y-5)-3=9-3(10-y)

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Solution for 2(y-5)-3=9-3(10-y) equation: 


Simplifying
2(y + -5) + -3 = 9 + -3(10 + -1y)

Reorder the terms:
2(-5 + y) + -3 = 9 + -3(10 + -1y)
(-5 * 2 + y * 2) + -3 = 9 + -3(10 + -1y)
(-10 + 2y) + -3 = 9 + -3(10 + -1y)

Reorder the terms:
-10 + -3 + 2y = 9 + -3(10 + -1y)

Combine like terms: -10 + -3 = -13
-13 + 2y = 9 + -3(10 + -1y)
-13 + 2y = 9 + (10 * -3 + -1y * -3)
-13 + 2y = 9 + (-30 + 3y)

Combine like terms: 9 + -30 = -21
-13 + 2y = -21 + 3y

Solving
-13 + 2y = -21 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-13 + 2y + -3y = -21 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-13 + -1y = -21 + 3y + -3y

Combine like terms: 3y + -3y = 0
-13 + -1y = -21 + 0
-13 + -1y = -21

Add '13' to each side of the equation.
-13 + 13 + -1y = -21 + 13

Combine like terms: -13 + 13 = 0
0 + -1y = -21 + 13
-1y = -21 + 13

Combine like terms: -21 + 13 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8

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