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Simplifying -3(8y + 7) + -3y = 3(y + -5) + -3 Reorder the terms: -3(7 + 8y) + -3y = 3(y + -5) + -3 (7 * -3 + 8y * -3) + -3y = 3(y + -5) + -3 (-21 + -24y) + -3y = 3(y + -5) + -3 Combine like terms: -24y + -3y = -27y -21 + -27y = 3(y + -5) + -3 Reorder the terms: -21 + -27y = 3(-5 + y) + -3 -21 + -27y = (-5 * 3 + y * 3) + -3 -21 + -27y = (-15 + 3y) + -3 Reorder the terms: -21 + -27y = -15 + -3 + 3y Combine like terms: -15 + -3 = -18 -21 + -27y = -18 + 3y Solving -21 + -27y = -18 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -21 + -27y + -3y = -18 + 3y + -3y Combine like terms: -27y + -3y = -30y -21 + -30y = -18 + 3y + -3y Combine like terms: 3y + -3y = 0 -21 + -30y = -18 + 0 -21 + -30y = -18 Add '21' to each side of the equation. -21 + 21 + -30y = -18 + 21 Combine like terms: -21 + 21 = 0 0 + -30y = -18 + 21 -30y = -18 + 21 Combine like terms: -18 + 21 = 3 -30y = 3 Divide each side by '-30'. y = -0.1 Simplifying y = -0.1
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