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Simplifying 2(6 + -2y) = -1(-4y + -9) (6 * 2 + -2y * 2) = -1(-4y + -9) (12 + -4y) = -1(-4y + -9) Reorder the terms: 12 + -4y = -1(-9 + -4y) 12 + -4y = (-9 * -1 + -4y * -1) 12 + -4y = (9 + 4y) Solving 12 + -4y = 9 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 12 + -4y + -4y = 9 + 4y + -4y Combine like terms: -4y + -4y = -8y 12 + -8y = 9 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + -8y = 9 + 0 12 + -8y = 9 Add '-12' to each side of the equation. 12 + -12 + -8y = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -8y = 9 + -12 -8y = 9 + -12 Combine like terms: 9 + -12 = -3 -8y = -3 Divide each side by '-8'. y = 0.375 Simplifying y = 0.375
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