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Simplifying 97 + -13 = -8(-4y) + -17(2y) + y Combine like terms: 97 + -13 = 84 84 = -8(-4y) + -17(2y) + y Remove parenthesis around (-4y) 84 = -8 * -4y + -17(2y) + y Multiply -8 * -4 84 = 32y + -17(2y) + y Remove parenthesis around (2y) 84 = 32y + -17 * 2y + y Multiply -17 * 2 84 = 32y + -34y + y Combine like terms: 32y + -34y = -2y 84 = -2y + y Combine like terms: -2y + y = -1y 84 = -1y Solving 84 = -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. 84 + y = -1y + y Combine like terms: -1y + y = 0 84 + y = 0 Add '-84' to each side of the equation. 84 + -84 + y = 0 + -84 Combine like terms: 84 + -84 = 0 0 + y = 0 + -84 y = 0 + -84 Combine like terms: 0 + -84 = -84 y = -84 Simplifying y = -84
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