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Simplifying -3(-4 + -6y) + 7(-1t + 5) = -8 (-4 * -3 + -6y * -3) + 7(-1t + 5) = -8 (12 + 18y) + 7(-1t + 5) = -8 Reorder the terms: 12 + 18y + 7(5 + -1t) = -8 12 + 18y + (5 * 7 + -1t * 7) = -8 12 + 18y + (35 + -7t) = -8 Reorder the terms: 12 + 35 + -7t + 18y = -8 Combine like terms: 12 + 35 = 47 47 + -7t + 18y = -8 Solving 47 + -7t + 18y = -8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -7t + -47 + 18y = -8 + -47 Reorder the terms: 47 + -47 + -7t + 18y = -8 + -47 Combine like terms: 47 + -47 = 0 0 + -7t + 18y = -8 + -47 -7t + 18y = -8 + -47 Combine like terms: -8 + -47 = -55 -7t + 18y = -55 Add '-18y' to each side of the equation. -7t + 18y + -18y = -55 + -18y Combine like terms: 18y + -18y = 0 -7t + 0 = -55 + -18y -7t = -55 + -18y Divide each side by '-7'. t = 7.857142857 + 2.571428571y Simplifying t = 7.857142857 + 2.571428571y
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