6(y-2)+3=3y-4(5-y)

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Solution for 6(y-2)+3=3y-4(5-y) equation:


Simplifying
6(y + -2) + 3 = 3y + -4(5 + -1y)

Reorder the terms:
6(-2 + y) + 3 = 3y + -4(5 + -1y)
(-2 * 6 + y * 6) + 3 = 3y + -4(5 + -1y)
(-12 + 6y) + 3 = 3y + -4(5 + -1y)

Reorder the terms:
-12 + 3 + 6y = 3y + -4(5 + -1y)

Combine like terms: -12 + 3 = -9
-9 + 6y = 3y + -4(5 + -1y)
-9 + 6y = 3y + (5 * -4 + -1y * -4)
-9 + 6y = 3y + (-20 + 4y)

Reorder the terms:
-9 + 6y = -20 + 3y + 4y

Combine like terms: 3y + 4y = 7y
-9 + 6y = -20 + 7y

Solving
-9 + 6y = -20 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-9 + 6y + -7y = -20 + 7y + -7y

Combine like terms: 6y + -7y = -1y
-9 + -1y = -20 + 7y + -7y

Combine like terms: 7y + -7y = 0
-9 + -1y = -20 + 0
-9 + -1y = -20

Add '9' to each side of the equation.
-9 + 9 + -1y = -20 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = -20 + 9
-1y = -20 + 9

Combine like terms: -20 + 9 = -11
-1y = -11

Divide each side by '-1'.
y = 11

Simplifying
y = 11

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