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Simplifying 2(y + -8) + -1 = -3(-7y + 7) + -5y Reorder the terms: 2(-8 + y) + -1 = -3(-7y + 7) + -5y (-8 * 2 + y * 2) + -1 = -3(-7y + 7) + -5y (-16 + 2y) + -1 = -3(-7y + 7) + -5y Reorder the terms: -16 + -1 + 2y = -3(-7y + 7) + -5y Combine like terms: -16 + -1 = -17 -17 + 2y = -3(-7y + 7) + -5y Reorder the terms: -17 + 2y = -3(7 + -7y) + -5y -17 + 2y = (7 * -3 + -7y * -3) + -5y -17 + 2y = (-21 + 21y) + -5y Combine like terms: 21y + -5y = 16y -17 + 2y = -21 + 16y Solving -17 + 2y = -21 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -17 + 2y + -16y = -21 + 16y + -16y Combine like terms: 2y + -16y = -14y -17 + -14y = -21 + 16y + -16y Combine like terms: 16y + -16y = 0 -17 + -14y = -21 + 0 -17 + -14y = -21 Add '17' to each side of the equation. -17 + 17 + -14y = -21 + 17 Combine like terms: -17 + 17 = 0 0 + -14y = -21 + 17 -14y = -21 + 17 Combine like terms: -21 + 17 = -4 -14y = -4 Divide each side by '-14'. y = 0.2857142857 Simplifying y = 0.2857142857
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