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Simplifying 10(y + -1) + -1(3 + y) = 5 + 6y + 8y Reorder the terms: 10(-1 + y) + -1(3 + y) = 5 + 6y + 8y (-1 * 10 + y * 10) + -1(3 + y) = 5 + 6y + 8y (-10 + 10y) + -1(3 + y) = 5 + 6y + 8y -10 + 10y + (3 * -1 + y * -1) = 5 + 6y + 8y -10 + 10y + (-3 + -1y) = 5 + 6y + 8y Reorder the terms: -10 + -3 + 10y + -1y = 5 + 6y + 8y Combine like terms: -10 + -3 = -13 -13 + 10y + -1y = 5 + 6y + 8y Combine like terms: 10y + -1y = 9y -13 + 9y = 5 + 6y + 8y Combine like terms: 6y + 8y = 14y -13 + 9y = 5 + 14y Solving -13 + 9y = 5 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -13 + 9y + -14y = 5 + 14y + -14y Combine like terms: 9y + -14y = -5y -13 + -5y = 5 + 14y + -14y Combine like terms: 14y + -14y = 0 -13 + -5y = 5 + 0 -13 + -5y = 5 Add '13' to each side of the equation. -13 + 13 + -5y = 5 + 13 Combine like terms: -13 + 13 = 0 0 + -5y = 5 + 13 -5y = 5 + 13 Combine like terms: 5 + 13 = 18 -5y = 18 Divide each side by '-5'. y = -3.6 Simplifying y = -3.6
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