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Simplifying 4t + y + 1 = 7(t + -1) Reorder the terms: 1 + 4t + y = 7(t + -1) Reorder the terms: 1 + 4t + y = 7(-1 + t) 1 + 4t + y = (-1 * 7 + t * 7) 1 + 4t + y = (-7 + 7t) Solving 1 + 4t + y = -7 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 1 + 4t + -7t + y = -7 + 7t + -7t Combine like terms: 4t + -7t = -3t 1 + -3t + y = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 1 + -3t + y = -7 + 0 1 + -3t + y = -7 Add '-1' to each side of the equation. 1 + -3t + -1 + y = -7 + -1 Reorder the terms: 1 + -1 + -3t + y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -3t + y = -7 + -1 -3t + y = -7 + -1 Combine like terms: -7 + -1 = -8 -3t + y = -8 Add '-1y' to each side of the equation. -3t + y + -1y = -8 + -1y Combine like terms: y + -1y = 0 -3t + 0 = -8 + -1y -3t = -8 + -1y Divide each side by '-3'. t = 2.666666667 + 0.3333333333y Simplifying t = 2.666666667 + 0.3333333333y
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