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Simplifying 2(4y + -3) = 3(y + 5) Reorder the terms: 2(-3 + 4y) = 3(y + 5) (-3 * 2 + 4y * 2) = 3(y + 5) (-6 + 8y) = 3(y + 5) Reorder the terms: -6 + 8y = 3(5 + y) -6 + 8y = (5 * 3 + y * 3) -6 + 8y = (15 + 3y) Solving -6 + 8y = 15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -6 + 8y + -3y = 15 + 3y + -3y Combine like terms: 8y + -3y = 5y -6 + 5y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 5y = 15 + 0 -6 + 5y = 15 Add '6' to each side of the equation. -6 + 6 + 5y = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 15 + 6 5y = 15 + 6 Combine like terms: 15 + 6 = 21 5y = 21 Divide each side by '5'. y = 4.2 Simplifying y = 4.2
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