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Simplifying -3(-8y + 3) + -4y = 5(y + -3) + -3 Reorder the terms: -3(3 + -8y) + -4y = 5(y + -3) + -3 (3 * -3 + -8y * -3) + -4y = 5(y + -3) + -3 (-9 + 24y) + -4y = 5(y + -3) + -3 Combine like terms: 24y + -4y = 20y -9 + 20y = 5(y + -3) + -3 Reorder the terms: -9 + 20y = 5(-3 + y) + -3 -9 + 20y = (-3 * 5 + y * 5) + -3 -9 + 20y = (-15 + 5y) + -3 Reorder the terms: -9 + 20y = -15 + -3 + 5y Combine like terms: -15 + -3 = -18 -9 + 20y = -18 + 5y Solving -9 + 20y = -18 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -9 + 20y + -5y = -18 + 5y + -5y Combine like terms: 20y + -5y = 15y -9 + 15y = -18 + 5y + -5y Combine like terms: 5y + -5y = 0 -9 + 15y = -18 + 0 -9 + 15y = -18 Add '9' to each side of the equation. -9 + 9 + 15y = -18 + 9 Combine like terms: -9 + 9 = 0 0 + 15y = -18 + 9 15y = -18 + 9 Combine like terms: -18 + 9 = -9 15y = -9 Divide each side by '15'. y = -0.6 Simplifying y = -0.6
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