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Simplifying 3(y + -5) + -8 = -7(4y + 5) + -9y Reorder the terms: 3(-5 + y) + -8 = -7(4y + 5) + -9y (-5 * 3 + y * 3) + -8 = -7(4y + 5) + -9y (-15 + 3y) + -8 = -7(4y + 5) + -9y Reorder the terms: -15 + -8 + 3y = -7(4y + 5) + -9y Combine like terms: -15 + -8 = -23 -23 + 3y = -7(4y + 5) + -9y Reorder the terms: -23 + 3y = -7(5 + 4y) + -9y -23 + 3y = (5 * -7 + 4y * -7) + -9y -23 + 3y = (-35 + -28y) + -9y Combine like terms: -28y + -9y = -37y -23 + 3y = -35 + -37y Solving -23 + 3y = -35 + -37y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '37y' to each side of the equation. -23 + 3y + 37y = -35 + -37y + 37y Combine like terms: 3y + 37y = 40y -23 + 40y = -35 + -37y + 37y Combine like terms: -37y + 37y = 0 -23 + 40y = -35 + 0 -23 + 40y = -35 Add '23' to each side of the equation. -23 + 23 + 40y = -35 + 23 Combine like terms: -23 + 23 = 0 0 + 40y = -35 + 23 40y = -35 + 23 Combine like terms: -35 + 23 = -12 40y = -12 Divide each side by '40'. y = -0.3 Simplifying y = -0.3
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