Simplify the following
a) 3+(4a-7)
b) (5x-8y)+3y
c) (2x-5y)+(3x-6y)
a) 4a-4
b) 5x-5y
c) 5x-11y
a) To simplify the expression 3+(4a-7), we can combine like terms within the parentheses. This gives us 3 + 4a - 7. To simplify further, we can combine the constants 3 and -7, which gives us -4. Thus, the simplified expression is 4a - 4.
b) To simplify the expression (5x-8y)+3y, we start by combining the like terms within the parentheses. This gives us 5x - 5y. Then, we can add the like terms outside the parentheses, which are -5y and 3y. Adding them gives us -2y. Therefore, the simplified expression is 5x - 2y.
c) To simplify the expression (2x-5y)+(3x-6y), start by combining the like terms within each set of parentheses. This gives us 2x + 3x - 5y - 6y. Then, we can combine the like terms together outside the parentheses. Combining the x terms gives us 5x, and combining the y terms gives us -11y. Therefore, the simplified expression is 5x - 11y.