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Simplifying 5(-4y + -2) + -1(y + -15) = -4(4y + 5) + 15 Reorder the terms: 5(-2 + -4y) + -1(y + -15) = -4(4y + 5) + 15 (-2 * 5 + -4y * 5) + -1(y + -15) = -4(4y + 5) + 15 (-10 + -20y) + -1(y + -15) = -4(4y + 5) + 15 Reorder the terms: -10 + -20y + -1(-15 + y) = -4(4y + 5) + 15 -10 + -20y + (-15 * -1 + y * -1) = -4(4y + 5) + 15 -10 + -20y + (15 + -1y) = -4(4y + 5) + 15 Reorder the terms: -10 + 15 + -20y + -1y = -4(4y + 5) + 15 Combine like terms: -10 + 15 = 5 5 + -20y + -1y = -4(4y + 5) + 15 Combine like terms: -20y + -1y = -21y 5 + -21y = -4(4y + 5) + 15 Reorder the terms: 5 + -21y = -4(5 + 4y) + 15 5 + -21y = (5 * -4 + 4y * -4) + 15 5 + -21y = (-20 + -16y) + 15 Reorder the terms: 5 + -21y = -20 + 15 + -16y Combine like terms: -20 + 15 = -5 5 + -21y = -5 + -16y Solving 5 + -21y = -5 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. 5 + -21y + 16y = -5 + -16y + 16y Combine like terms: -21y + 16y = -5y 5 + -5y = -5 + -16y + 16y Combine like terms: -16y + 16y = 0 5 + -5y = -5 + 0 5 + -5y = -5 Add '-5' to each side of the equation. 5 + -5 + -5y = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -5y = -5 + -5 -5y = -5 + -5 Combine like terms: -5 + -5 = -10 -5y = -10 Divide each side by '-5'. y = 2 Simplifying y = 2
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