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Simplifying 3(2y + -5) = 5y + -4(y + 5) Reorder the terms: 3(-5 + 2y) = 5y + -4(y + 5) (-5 * 3 + 2y * 3) = 5y + -4(y + 5) (-15 + 6y) = 5y + -4(y + 5) Reorder the terms: -15 + 6y = 5y + -4(5 + y) -15 + 6y = 5y + (5 * -4 + y * -4) -15 + 6y = 5y + (-20 + -4y) Reorder the terms: -15 + 6y = -20 + 5y + -4y Combine like terms: 5y + -4y = 1y -15 + 6y = -20 + 1y Solving -15 + 6y = -20 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -15 + 6y + -1y = -20 + 1y + -1y Combine like terms: 6y + -1y = 5y -15 + 5y = -20 + 1y + -1y Combine like terms: 1y + -1y = 0 -15 + 5y = -20 + 0 -15 + 5y = -20 Add '15' to each side of the equation. -15 + 15 + 5y = -20 + 15 Combine like terms: -15 + 15 = 0 0 + 5y = -20 + 15 5y = -20 + 15 Combine like terms: -20 + 15 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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