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Simplifying -8(y + -3) + -14 = -2y + -1(5 + -1y) Reorder the terms: -8(-3 + y) + -14 = -2y + -1(5 + -1y) (-3 * -8 + y * -8) + -14 = -2y + -1(5 + -1y) (24 + -8y) + -14 = -2y + -1(5 + -1y) Reorder the terms: 24 + -14 + -8y = -2y + -1(5 + -1y) Combine like terms: 24 + -14 = 10 10 + -8y = -2y + -1(5 + -1y) 10 + -8y = -2y + (5 * -1 + -1y * -1) 10 + -8y = -2y + (-5 + 1y) Reorder the terms: 10 + -8y = -5 + -2y + 1y Combine like terms: -2y + 1y = -1y 10 + -8y = -5 + -1y Solving 10 + -8y = -5 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 10 + -8y + y = -5 + -1y + y Combine like terms: -8y + y = -7y 10 + -7y = -5 + -1y + y Combine like terms: -1y + y = 0 10 + -7y = -5 + 0 10 + -7y = -5 Add '-10' to each side of the equation. 10 + -10 + -7y = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -7y = -5 + -10 -7y = -5 + -10 Combine like terms: -5 + -10 = -15 -7y = -15 Divide each side by '-7'. y = 2.142857143 Simplifying y = 2.142857143
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