Sure, let's solve the equation step by step:
We start with the equation:
[tex]\[ 6703y - 725y = 5756y \][/tex]
First, let's simplify the left-hand side by combining the like terms:
[tex]\[ (6703 - 725) y = 5756y \][/tex]
Calculate [tex]\( 6703 - 725 \)[/tex]:
[tex]\[ 6703 - 725 = 5978 \][/tex]
So the equation simplifies to:
[tex]\[ 5978y = 5756y \][/tex]
Next, let's move all terms involving [tex]\( y \)[/tex] to one side of the equation:
[tex]\[ 5978y - 5756y = 0 \][/tex]
Simplify by combining the terms:
[tex]\[ (5978 - 5756)y = 0 \][/tex]
Calculate [tex]\( 5978 - 5756 \)[/tex]:
[tex]\[ 5978 - 5756 = 222 \][/tex]
So the simplified equation is:
[tex]\[ 222y = 0 \][/tex]
To find [tex]\( y \)[/tex], divide both sides by 222:
[tex]\[ y = \frac{0}{222} \][/tex]
Since any number divided by a non-zero number is 0, we have:
[tex]\[ y = 0 \][/tex]
Thus, the value of [tex]\( y \)[/tex] that satisfies the equation is:
[tex]\[ \boxed{0} \][/tex]
