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Simplifying 5(2y + 4) + -1(10y + -16) = 6 + -14y Reorder the terms: 5(4 + 2y) + -1(10y + -16) = 6 + -14y (4 * 5 + 2y * 5) + -1(10y + -16) = 6 + -14y (20 + 10y) + -1(10y + -16) = 6 + -14y Reorder the terms: 20 + 10y + -1(-16 + 10y) = 6 + -14y 20 + 10y + (-16 * -1 + 10y * -1) = 6 + -14y 20 + 10y + (16 + -10y) = 6 + -14y Reorder the terms: 20 + 16 + 10y + -10y = 6 + -14y Combine like terms: 20 + 16 = 36 36 + 10y + -10y = 6 + -14y Combine like terms: 10y + -10y = 0 36 + 0 = 6 + -14y 36 = 6 + -14y Solving 36 = 6 + -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. 36 + 14y = 6 + -14y + 14y Combine like terms: -14y + 14y = 0 36 + 14y = 6 + 0 36 + 14y = 6 Add '-36' to each side of the equation. 36 + -36 + 14y = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 14y = 6 + -36 14y = 6 + -36 Combine like terms: 6 + -36 = -30 14y = -30 Divide each side by '14'. y = -2.142857143 Simplifying y = -2.142857143
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