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Simplifying 12(y + -9) + 8y = 10y + -50 Reorder the terms: 12(-9 + y) + 8y = 10y + -50 (-9 * 12 + y * 12) + 8y = 10y + -50 (-108 + 12y) + 8y = 10y + -50 Combine like terms: 12y + 8y = 20y -108 + 20y = 10y + -50 Reorder the terms: -108 + 20y = -50 + 10y Solving -108 + 20y = -50 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -108 + 20y + -10y = -50 + 10y + -10y Combine like terms: 20y + -10y = 10y -108 + 10y = -50 + 10y + -10y Combine like terms: 10y + -10y = 0 -108 + 10y = -50 + 0 -108 + 10y = -50 Add '108' to each side of the equation. -108 + 108 + 10y = -50 + 108 Combine like terms: -108 + 108 = 0 0 + 10y = -50 + 108 10y = -50 + 108 Combine like terms: -50 + 108 = 58 10y = 58 Divide each side by '10'. y = 5.8 Simplifying y = 5.8
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