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Simplifying 5y + -1(3 + 7t) = -8 + 4y + -13 5y + (3 * -1 + 7t * -1) = -8 + 4y + -13 5y + (-3 + -7t) = -8 + 4y + -13 Reorder the terms: -3 + -7t + 5y = -8 + 4y + -13 Reorder the terms: -3 + -7t + 5y = -8 + -13 + 4y Combine like terms: -8 + -13 = -21 -3 + -7t + 5y = -21 + 4y Solving -3 + -7t + 5y = -21 + 4y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -7t + 3 + 5y = -21 + 3 + 4y Reorder the terms: -3 + 3 + -7t + 5y = -21 + 3 + 4y Combine like terms: -3 + 3 = 0 0 + -7t + 5y = -21 + 3 + 4y -7t + 5y = -21 + 3 + 4y Combine like terms: -21 + 3 = -18 -7t + 5y = -18 + 4y Add '-5y' to each side of the equation. -7t + 5y + -5y = -18 + 4y + -5y Combine like terms: 5y + -5y = 0 -7t + 0 = -18 + 4y + -5y -7t = -18 + 4y + -5y Combine like terms: 4y + -5y = -1y -7t = -18 + -1y Divide each side by '-7'. t = 2.571428571 + 0.1428571429y Simplifying t = 2.571428571 + 0.1428571429y
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