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Simplifying 5(y + -3) + -6 = 5(-4y + 5) Reorder the terms: 5(-3 + y) + -6 = 5(-4y + 5) (-3 * 5 + y * 5) + -6 = 5(-4y + 5) (-15 + 5y) + -6 = 5(-4y + 5) Reorder the terms: -15 + -6 + 5y = 5(-4y + 5) Combine like terms: -15 + -6 = -21 -21 + 5y = 5(-4y + 5) Reorder the terms: -21 + 5y = 5(5 + -4y) -21 + 5y = (5 * 5 + -4y * 5) -21 + 5y = (25 + -20y) Solving -21 + 5y = 25 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. -21 + 5y + 20y = 25 + -20y + 20y Combine like terms: 5y + 20y = 25y -21 + 25y = 25 + -20y + 20y Combine like terms: -20y + 20y = 0 -21 + 25y = 25 + 0 -21 + 25y = 25 Add '21' to each side of the equation. -21 + 21 + 25y = 25 + 21 Combine like terms: -21 + 21 = 0 0 + 25y = 25 + 21 25y = 25 + 21 Combine like terms: 25 + 21 = 46 25y = 46 Divide each side by '25'. y = 1.84 Simplifying y = 1.84
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