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To solve the equation 4(2y – 6) + 3 = 11, we follow the order of operations.
First, we simplify the expression within the parentheses:
4(2y – 6) + 3 = 11
8y - 24 + 3 = 11
Next, we combine like terms:
8y - 21 = 11
To isolate the variable y, we add 21 to both sides of the equation:
8y = 32
Finally, we divide both sides by 8:
y = 4
Therefore, the solution to the equation is y = 4.