Final answer:
To solve the first equation, simplify and isolate the variable by combining like terms. For the second equation, isolate the variable by subtracting and dividing.
Step-by-step explanation:
To solve the first equation, 2 - (2y + 3x) = 4(x - y), we need to simplify and isolate the variable. Distribute the negative sign to the terms inside the parentheses: 2 - 2y - 3x = 4x - 4y. Combine like terms: -2y - 3x + 2 = 4x - 4y. Move the variables to one side and the constants to the other side: -2y + 4y = 4x + 3x - 2. Simplify: 2y = 7x - 2. Divide by 2: y = (7x - 2)/2. To solve the second equation, 2y + 4 = 7 + 7x, we again need to isolate the variable. Subtract 4 from both sides: 2y = 7x + 3. Divide by 2: y = (7x + 3)/2.