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Simplifying 7t + 3(y + -6) = 5(y + 1) + -2 Reorder the terms: 7t + 3(-6 + y) = 5(y + 1) + -2 7t + (-6 * 3 + y * 3) = 5(y + 1) + -2 7t + (-18 + 3y) = 5(y + 1) + -2 Reorder the terms: -18 + 7t + 3y = 5(y + 1) + -2 Reorder the terms: -18 + 7t + 3y = 5(1 + y) + -2 -18 + 7t + 3y = (1 * 5 + y * 5) + -2 -18 + 7t + 3y = (5 + 5y) + -2 Reorder the terms: -18 + 7t + 3y = 5 + -2 + 5y Combine like terms: 5 + -2 = 3 -18 + 7t + 3y = 3 + 5y Solving -18 + 7t + 3y = 3 + 5y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 7t + 18 + 3y = 3 + 18 + 5y Reorder the terms: -18 + 18 + 7t + 3y = 3 + 18 + 5y Combine like terms: -18 + 18 = 0 0 + 7t + 3y = 3 + 18 + 5y 7t + 3y = 3 + 18 + 5y Combine like terms: 3 + 18 = 21 7t + 3y = 21 + 5y Add '-3y' to each side of the equation. 7t + 3y + -3y = 21 + 5y + -3y Combine like terms: 3y + -3y = 0 7t + 0 = 21 + 5y + -3y 7t = 21 + 5y + -3y Combine like terms: 5y + -3y = 2y 7t = 21 + 2y Divide each side by '7'. t = 3 + 0.2857142857y Simplifying t = 3 + 0.2857142857y
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