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Simplifying -4(-6) = (-9 + y)(-2) Multiply -4 * -6 24 = (-9 + y)(-2) Reorder the terms for easier multiplication: 24 = -2(-9 + y) 24 = (-9 * -2 + y * -2) 24 = (18 + -2y) Solving 24 = 18 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 24 + 2y = 18 + -2y + 2y Combine like terms: -2y + 2y = 0 24 + 2y = 18 + 0 24 + 2y = 18 Add '-24' to each side of the equation. 24 + -24 + 2y = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 2y = 18 + -24 2y = 18 + -24 Combine like terms: 18 + -24 = -6 2y = -6 Divide each side by '2'. y = -3 Simplifying y = -3
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