Simplify the given algebraic expression. \[ 7(2 y-5)+4(3 y+2) \] \[ 7(2 y-5)+4(3 y+2)=\square(\text { Simplify your answer. }) \]

Step 1 ：The given expression is a linear combination of terms. To simplify it, we need to distribute the multiplication across each term in the parentheses, and then combine like terms.

Step 2 ：Distribute the multiplication in the first parentheses: \(7 * 2y - 7 * 5 = 14y - 35\).

Step 3 ：Distribute the multiplication in the second parentheses: \(4 * 3y + 4 * 2 = 12y + 8\).

Step 4 ：Combine the results of the two parentheses: \(14y - 35 + 12y + 8\).

Step 5 ：Combine like terms: \(14y + 12y = 26y\) and \(-35 + 8 = -27\).

Step 6 ：So, the simplified form of the given algebraic expression is \(26y - 27\).

Step 7 ：Final Answer: \(\boxed{26y - 27}\)