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Simplifying 8y + 3(y + -5) = 3(y + 2) + -2 Reorder the terms: 8y + 3(-5 + y) = 3(y + 2) + -2 8y + (-5 * 3 + y * 3) = 3(y + 2) + -2 8y + (-15 + 3y) = 3(y + 2) + -2 Reorder the terms: -15 + 8y + 3y = 3(y + 2) + -2 Combine like terms: 8y + 3y = 11y -15 + 11y = 3(y + 2) + -2 Reorder the terms: -15 + 11y = 3(2 + y) + -2 -15 + 11y = (2 * 3 + y * 3) + -2 -15 + 11y = (6 + 3y) + -2 Reorder the terms: -15 + 11y = 6 + -2 + 3y Combine like terms: 6 + -2 = 4 -15 + 11y = 4 + 3y Solving -15 + 11y = 4 + 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. -15 + 11y + -3y = 4 + 3y + -3y Combine like terms: 11y + -3y = 8y -15 + 8y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + 8y = 4 + 0 -15 + 8y = 4 Add '15' to each side of the equation. -15 + 15 + 8y = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 8y = 4 + 15 8y = 4 + 15 Combine like terms: 4 + 15 = 19 8y = 19 Divide each side by '8'. y = 2.375 Simplifying y = 2.375
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