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Simplifying -4(y + -6) = (-9 + y)(-2) Reorder the terms: -4(-6 + y) = (-9 + y)(-2) (-6 * -4 + y * -4) = (-9 + y)(-2) (24 + -4y) = (-9 + y)(-2) Reorder the terms for easier multiplication: 24 + -4y = -2(-9 + y) 24 + -4y = (-9 * -2 + y * -2) 24 + -4y = (18 + -2y) Solving 24 + -4y = 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 + -4y + 2y = 18 + -2y + 2y Combine like terms: -4y + 2y = -2y 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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