Final answer:
The expanded form of the expression -2/3(y + x) - 2/2 is -2/3y - 2/3x - 1, after distributing the fraction across the parentheses and simplifying the fraction -2/2 to -1.
Step-by-step explanation:
The question asks for the expanded form of the expression -2/3(y + x) - 2/2, where the value of -2/2 is understood as a fraction.
To expand the expression, you distribute the -2/3 across the parentheses, which gives you -2/3 * y - 2/3 * x. Next, you address the fraction -2/2, which simplifies to -1 because the numerator and denominator are equal in magnitude but opposite in sign, thus canceling each other out. Therefore, the expanded form of the given expression is -2/3y - 2/3x - 1.
If we were to solve for y, you would isolate the y-term by performing algebraic operations that include dividing both sides of the equation by the coefficient of y, ensuring that the equality is maintained as per algebraic rules.