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Simplifying 8y + 3(y + -5) = (y + 2) + -4 Reorder the terms: 8y + 3(-5 + y) = (y + 2) + -4 8y + (-5 * 3 + y * 3) = (y + 2) + -4 8y + (-15 + 3y) = (y + 2) + -4 Reorder the terms: -15 + 8y + 3y = (y + 2) + -4 Combine like terms: 8y + 3y = 11y -15 + 11y = (y + 2) + -4 Reorder the terms: -15 + 11y = (2 + y) + -4 Remove parenthesis around (2 + y) -15 + 11y = 2 + y + -4 Reorder the terms: -15 + 11y = 2 + -4 + y Combine like terms: 2 + -4 = -2 -15 + 11y = -2 + y Solving -15 + 11y = -2 + y 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 + 11y + -1y = -2 + y + -1y Combine like terms: 11y + -1y = 10y -15 + 10y = -2 + y + -1y Combine like terms: y + -1y = 0 -15 + 10y = -2 + 0 -15 + 10y = -2 Add '15' to each side of the equation. -15 + 15 + 10y = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 10y = -2 + 15 10y = -2 + 15 Combine like terms: -2 + 15 = 13 10y = 13 Divide each side by '10'. y = 1.3 Simplifying y = 1.3
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