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Simplifying 2(5y + -3) + -24 = 5(6y + -2) + 25 Reorder the terms: 2(-3 + 5y) + -24 = 5(6y + -2) + 25 (-3 * 2 + 5y * 2) + -24 = 5(6y + -2) + 25 (-6 + 10y) + -24 = 5(6y + -2) + 25 Reorder the terms: -6 + -24 + 10y = 5(6y + -2) + 25 Combine like terms: -6 + -24 = -30 -30 + 10y = 5(6y + -2) + 25 Reorder the terms: -30 + 10y = 5(-2 + 6y) + 25 -30 + 10y = (-2 * 5 + 6y * 5) + 25 -30 + 10y = (-10 + 30y) + 25 Reorder the terms: -30 + 10y = -10 + 25 + 30y Combine like terms: -10 + 25 = 15 -30 + 10y = 15 + 30y Solving -30 + 10y = 15 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -30 + 10y + -30y = 15 + 30y + -30y Combine like terms: 10y + -30y = -20y -30 + -20y = 15 + 30y + -30y Combine like terms: 30y + -30y = 0 -30 + -20y = 15 + 0 -30 + -20y = 15 Add '30' to each side of the equation. -30 + 30 + -20y = 15 + 30 Combine like terms: -30 + 30 = 0 0 + -20y = 15 + 30 -20y = 15 + 30 Combine like terms: 15 + 30 = 45 -20y = 45 Divide each side by '-20'. y = -2.25 Simplifying y = -2.25
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