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Simplifying -15(y + 3) + 5(4y + -7) = 4(y + -6) + 9 Reorder the terms: -15(3 + y) + 5(4y + -7) = 4(y + -6) + 9 (3 * -15 + y * -15) + 5(4y + -7) = 4(y + -6) + 9 (-45 + -15y) + 5(4y + -7) = 4(y + -6) + 9 Reorder the terms: -45 + -15y + 5(-7 + 4y) = 4(y + -6) + 9 -45 + -15y + (-7 * 5 + 4y * 5) = 4(y + -6) + 9 -45 + -15y + (-35 + 20y) = 4(y + -6) + 9 Reorder the terms: -45 + -35 + -15y + 20y = 4(y + -6) + 9 Combine like terms: -45 + -35 = -80 -80 + -15y + 20y = 4(y + -6) + 9 Combine like terms: -15y + 20y = 5y -80 + 5y = 4(y + -6) + 9 Reorder the terms: -80 + 5y = 4(-6 + y) + 9 -80 + 5y = (-6 * 4 + y * 4) + 9 -80 + 5y = (-24 + 4y) + 9 Reorder the terms: -80 + 5y = -24 + 9 + 4y Combine like terms: -24 + 9 = -15 -80 + 5y = -15 + 4y Solving -80 + 5y = -15 + 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. -80 + 5y + -4y = -15 + 4y + -4y Combine like terms: 5y + -4y = 1y -80 + 1y = -15 + 4y + -4y Combine like terms: 4y + -4y = 0 -80 + 1y = -15 + 0 -80 + 1y = -15 Add '80' to each side of the equation. -80 + 80 + 1y = -15 + 80 Combine like terms: -80 + 80 = 0 0 + 1y = -15 + 80 1y = -15 + 80 Combine like terms: -15 + 80 = 65 1y = 65 Divide each side by '1'. y = 65 Simplifying y = 65
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