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Simplifying 75 = 3(-10y + -3) + 6t Reorder the terms: 75 = 3(-3 + -10y) + 6t 75 = (-3 * 3 + -10y * 3) + 6t 75 = (-9 + -30y) + 6t Reorder the terms: 75 = -9 + 6t + -30y Solving 75 = -9 + 6t + -30y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 75 + -6t = -9 + 6t + -6t + -30y Combine like terms: 6t + -6t = 0 75 + -6t = -9 + 0 + -30y 75 + -6t = -9 + -30y Add '-75' to each side of the equation. 75 + -75 + -6t = -9 + -75 + -30y Combine like terms: 75 + -75 = 0 0 + -6t = -9 + -75 + -30y -6t = -9 + -75 + -30y Combine like terms: -9 + -75 = -84 -6t = -84 + -30y Divide each side by '-6'. t = 14 + 5y Simplifying t = 14 + 5y
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