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

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


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

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

Combine like terms: 4y + 3y = 7y
-12 + 7y = -1(5y + -2) + y

Reorder the terms:
-12 + 7y = -1(-2 + 5y) + y
-12 + 7y = (-2 * -1 + 5y * -1) + y
-12 + 7y = (2 + -5y) + y

Combine like terms: -5y + y = -4y
-12 + 7y = 2 + -4y

Solving
-12 + 7y = 2 + -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.
-12 + 7y + 4y = 2 + -4y + 4y

Combine like terms: 7y + 4y = 11y
-12 + 11y = 2 + -4y + 4y

Combine like terms: -4y + 4y = 0
-12 + 11y = 2 + 0
-12 + 11y = 2

Add '12' to each side of the equation.
-12 + 12 + 11y = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 11y = 2 + 12
11y = 2 + 12

Combine like terms: 2 + 12 = 14
11y = 14

Divide each side by '11'.
y = 1.272727273

Simplifying
y = 1.272727273

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