4y-(7y+3)=7(y+1)-4y

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Solution for 4y-(7y+3)=7(y+1)-4y equation:


Simplifying
4y + -1(7y + 3) = 7(y + 1) + -4y

Reorder the terms:
4y + -1(3 + 7y) = 7(y + 1) + -4y
4y + (3 * -1 + 7y * -1) = 7(y + 1) + -4y
4y + (-3 + -7y) = 7(y + 1) + -4y

Reorder the terms:
-3 + 4y + -7y = 7(y + 1) + -4y

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

Reorder the terms:
-3 + -3y = 7(1 + y) + -4y
-3 + -3y = (1 * 7 + y * 7) + -4y
-3 + -3y = (7 + 7y) + -4y

Combine like terms: 7y + -4y = 3y
-3 + -3y = 7 + 3y

Solving
-3 + -3y = 7 + 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.
-3 + -3y + -3y = 7 + 3y + -3y

Combine like terms: -3y + -3y = -6y
-3 + -6y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
-3 + -6y = 7 + 0
-3 + -6y = 7

Add '3' to each side of the equation.
-3 + 3 + -6y = 7 + 3

Combine like terms: -3 + 3 = 0
0 + -6y = 7 + 3
-6y = 7 + 3

Combine like terms: 7 + 3 = 10
-6y = 10

Divide each side by '-6'.
y = -1.666666667

Simplifying
y = -1.666666667

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