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Simplifying 2(4y + -5) = -3y + 2 Reorder the terms: 2(-5 + 4y) = -3y + 2 (-5 * 2 + 4y * 2) = -3y + 2 (-10 + 8y) = -3y + 2 Reorder the terms: -10 + 8y = 2 + -3y Solving -10 + 8y = 2 + -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. -10 + 8y + 3y = 2 + -3y + 3y Combine like terms: 8y + 3y = 11y -10 + 11y = 2 + -3y + 3y Combine like terms: -3y + 3y = 0 -10 + 11y = 2 + 0 -10 + 11y = 2 Add '10' to each side of the equation. -10 + 10 + 11y = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 11y = 2 + 10 11y = 2 + 10 Combine like terms: 2 + 10 = 12 11y = 12 Divide each side by '11'. y = 1.090909091 Simplifying y = 1.090909091
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