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Simplifying 3(y + -1) + 8(y + -3) = 6y + 7 + -5y Reorder the terms: 3(-1 + y) + 8(y + -3) = 6y + 7 + -5y (-1 * 3 + y * 3) + 8(y + -3) = 6y + 7 + -5y (-3 + 3y) + 8(y + -3) = 6y + 7 + -5y Reorder the terms: -3 + 3y + 8(-3 + y) = 6y + 7 + -5y -3 + 3y + (-3 * 8 + y * 8) = 6y + 7 + -5y -3 + 3y + (-24 + 8y) = 6y + 7 + -5y Reorder the terms: -3 + -24 + 3y + 8y = 6y + 7 + -5y Combine like terms: -3 + -24 = -27 -27 + 3y + 8y = 6y + 7 + -5y Combine like terms: 3y + 8y = 11y -27 + 11y = 6y + 7 + -5y Reorder the terms: -27 + 11y = 7 + 6y + -5y Combine like terms: 6y + -5y = 1y -27 + 11y = 7 + 1y Solving -27 + 11y = 7 + 1y 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. -27 + 11y + -1y = 7 + 1y + -1y Combine like terms: 11y + -1y = 10y -27 + 10y = 7 + 1y + -1y Combine like terms: 1y + -1y = 0 -27 + 10y = 7 + 0 -27 + 10y = 7 Add '27' to each side of the equation. -27 + 27 + 10y = 7 + 27 Combine like terms: -27 + 27 = 0 0 + 10y = 7 + 27 10y = 7 + 27 Combine like terms: 7 + 27 = 34 10y = 34 Divide each side by '10'. y = 3.4 Simplifying y = 3.4
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