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Simplifying 2(4y + -5) = 3(-2y + 6) Reorder the terms: 2(-5 + 4y) = 3(-2y + 6) (-5 * 2 + 4y * 2) = 3(-2y + 6) (-10 + 8y) = 3(-2y + 6) Reorder the terms: -10 + 8y = 3(6 + -2y) -10 + 8y = (6 * 3 + -2y * 3) -10 + 8y = (18 + -6y) Solving -10 + 8y = 18 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -10 + 8y + 6y = 18 + -6y + 6y Combine like terms: 8y + 6y = 14y -10 + 14y = 18 + -6y + 6y Combine like terms: -6y + 6y = 0 -10 + 14y = 18 + 0 -10 + 14y = 18 Add '10' to each side of the equation. -10 + 10 + 14y = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 14y = 18 + 10 14y = 18 + 10 Combine like terms: 18 + 10 = 28 14y = 28 Divide each side by '14'. y = 2 Simplifying y = 2
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