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Simplifying -3(-9t + 6) + -6y = 5(y + -4) + -2 Reorder the terms: -3(6 + -9t) + -6y = 5(y + -4) + -2 (6 * -3 + -9t * -3) + -6y = 5(y + -4) + -2 (-18 + 27t) + -6y = 5(y + -4) + -2 Reorder the terms: -18 + 27t + -6y = 5(-4 + y) + -2 -18 + 27t + -6y = (-4 * 5 + y * 5) + -2 -18 + 27t + -6y = (-20 + 5y) + -2 Reorder the terms: -18 + 27t + -6y = -20 + -2 + 5y Combine like terms: -20 + -2 = -22 -18 + 27t + -6y = -22 + 5y Solving -18 + 27t + -6y = -22 + 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 + 27t + 18 + -6y = -22 + 18 + 5y Reorder the terms: -18 + 18 + 27t + -6y = -22 + 18 + 5y Combine like terms: -18 + 18 = 0 0 + 27t + -6y = -22 + 18 + 5y 27t + -6y = -22 + 18 + 5y Combine like terms: -22 + 18 = -4 27t + -6y = -4 + 5y Add '6y' to each side of the equation. 27t + -6y + 6y = -4 + 5y + 6y Combine like terms: -6y + 6y = 0 27t + 0 = -4 + 5y + 6y 27t = -4 + 5y + 6y Combine like terms: 5y + 6y = 11y 27t = -4 + 11y Divide each side by '27'. t = -0.1481481481 + 0.4074074074y Simplifying t = -0.1481481481 + 0.4074074074y
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