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Simplifying 8(10y + 3) + -18t = 40 + 62t Reorder the terms: 8(3 + 10y) + -18t = 40 + 62t (3 * 8 + 10y * 8) + -18t = 40 + 62t (24 + 80y) + -18t = 40 + 62t Reorder the terms: 24 + -18t + 80y = 40 + 62t Solving 24 + -18t + 80y = 40 + 62t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-62t' to each side of the equation. 24 + -18t + -62t + 80y = 40 + 62t + -62t Combine like terms: -18t + -62t = -80t 24 + -80t + 80y = 40 + 62t + -62t Combine like terms: 62t + -62t = 0 24 + -80t + 80y = 40 + 0 24 + -80t + 80y = 40 Add '-24' to each side of the equation. 24 + -80t + -24 + 80y = 40 + -24 Reorder the terms: 24 + -24 + -80t + 80y = 40 + -24 Combine like terms: 24 + -24 = 0 0 + -80t + 80y = 40 + -24 -80t + 80y = 40 + -24 Combine like terms: 40 + -24 = 16 -80t + 80y = 16 Add '-80y' to each side of the equation. -80t + 80y + -80y = 16 + -80y Combine like terms: 80y + -80y = 0 -80t + 0 = 16 + -80y -80t = 16 + -80y Divide each side by '-80'. t = -0.2 + y Simplifying t = -0.2 + y
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