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Simplifying 4t + 8 + y = 12 + 2m + 5t + -100 Reorder the terms: 8 + 4t + y = 12 + 2m + 5t + -100 Reorder the terms: 8 + 4t + y = 12 + -100 + 2m + 5t Combine like terms: 12 + -100 = -88 8 + 4t + y = -88 + 2m + 5t Solving 8 + 4t + y = -88 + 2m + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 8 + 4t + -5t + y = -88 + 2m + 5t + -5t Combine like terms: 4t + -5t = -1t 8 + -1t + y = -88 + 2m + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -1t + y = -88 + 2m + 0 8 + -1t + y = -88 + 2m Add '-8' to each side of the equation. 8 + -1t + -8 + y = -88 + -8 + 2m Reorder the terms: 8 + -8 + -1t + y = -88 + -8 + 2m Combine like terms: 8 + -8 = 0 0 + -1t + y = -88 + -8 + 2m -1t + y = -88 + -8 + 2m Combine like terms: -88 + -8 = -96 -1t + y = -96 + 2m Add '-1y' to each side of the equation. -1t + y + -1y = -96 + 2m + -1y Combine like terms: y + -1y = 0 -1t + 0 = -96 + 2m + -1y -1t = -96 + 2m + -1y Divide each side by '-1'. t = 96 + -2m + y Simplifying t = 96 + -2m + y
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