3y+4(y-3)=5y-3(y-1)

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Solution for 3y+4(y-3)=5y-3(y-1) equation:


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

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

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

Combine like terms: 3y + 4y = 7y
-12 + 7y = 5y + -3(y + -1)

Reorder the terms:
-12 + 7y = 5y + -3(-1 + y)
-12 + 7y = 5y + (-1 * -3 + y * -3)
-12 + 7y = 5y + (3 + -3y)

Reorder the terms:
-12 + 7y = 3 + 5y + -3y

Combine like terms: 5y + -3y = 2y
-12 + 7y = 3 + 2y

Solving
-12 + 7y = 3 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-12 + 7y + -2y = 3 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-12 + 5y = 3 + 2y + -2y

Combine like terms: 2y + -2y = 0
-12 + 5y = 3 + 0
-12 + 5y = 3

Add '12' to each side of the equation.
-12 + 12 + 5y = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 5y = 3 + 12
5y = 3 + 12

Combine like terms: 3 + 12 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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