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Simplifying 3 + 6(8y + -6) = -3(-8y + 2) + -7 Reorder the terms: 3 + 6(-6 + 8y) = -3(-8y + 2) + -7 3 + (-6 * 6 + 8y * 6) = -3(-8y + 2) + -7 3 + (-36 + 48y) = -3(-8y + 2) + -7 Combine like terms: 3 + -36 = -33 -33 + 48y = -3(-8y + 2) + -7 Reorder the terms: -33 + 48y = -3(2 + -8y) + -7 -33 + 48y = (2 * -3 + -8y * -3) + -7 -33 + 48y = (-6 + 24y) + -7 Reorder the terms: -33 + 48y = -6 + -7 + 24y Combine like terms: -6 + -7 = -13 -33 + 48y = -13 + 24y Solving -33 + 48y = -13 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -33 + 48y + -24y = -13 + 24y + -24y Combine like terms: 48y + -24y = 24y -33 + 24y = -13 + 24y + -24y Combine like terms: 24y + -24y = 0 -33 + 24y = -13 + 0 -33 + 24y = -13 Add '33' to each side of the equation. -33 + 33 + 24y = -13 + 33 Combine like terms: -33 + 33 = 0 0 + 24y = -13 + 33 24y = -13 + 33 Combine like terms: -13 + 33 = 20 24y = 20 Divide each side by '24'. y = 0.8333333333 Simplifying y = 0.8333333333
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