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Simplifying 12(y + -7) + 6y = 10t + -1.5 Reorder the terms: 12(-7 + y) + 6y = 10t + -1.5 (-7 * 12 + y * 12) + 6y = 10t + -1.5 (-84 + 12y) + 6y = 10t + -1.5 Combine like terms: 12y + 6y = 18y -84 + 18y = 10t + -1.5 Reorder the terms: -84 + 18y = -1.5 + 10t Solving -84 + 18y = -1.5 + 10t Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 18y = -1.5 + 84 + 10t Combine like terms: -84 + 84 = 0 0 + 18y = -1.5 + 84 + 10t 18y = -1.5 + 84 + 10t Combine like terms: -1.5 + 84 = 82.5 18y = 82.5 + 10t Divide each side by '18'. y = 4.583333333 + 0.5555555556t Simplifying y = 4.583333333 + 0.5555555556t
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