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Simplifying -6t + -1(4 + -1(2 + -3y)) = 4(t + 1) -6t + -1(4 + (2 * -1 + -3y * -1)) = 4(t + 1) -6t + -1(4 + (-2 + 3y)) = 4(t + 1) Combine like terms: 4 + -2 = 2 -6t + -1(2 + 3y) = 4(t + 1) -6t + (2 * -1 + 3y * -1) = 4(t + 1) -6t + (-2 + -3y) = 4(t + 1) Reorder the terms: -2 + -6t + -3y = 4(t + 1) Reorder the terms: -2 + -6t + -3y = 4(1 + t) -2 + -6t + -3y = (1 * 4 + t * 4) -2 + -6t + -3y = (4 + 4t) Solving -2 + -6t + -3y = 4 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -2 + -6t + -4t + -3y = 4 + 4t + -4t Combine like terms: -6t + -4t = -10t -2 + -10t + -3y = 4 + 4t + -4t Combine like terms: 4t + -4t = 0 -2 + -10t + -3y = 4 + 0 -2 + -10t + -3y = 4 Add '2' to each side of the equation. -2 + -10t + 2 + -3y = 4 + 2 Reorder the terms: -2 + 2 + -10t + -3y = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -10t + -3y = 4 + 2 -10t + -3y = 4 + 2 Combine like terms: 4 + 2 = 6 -10t + -3y = 6 Add '3y' to each side of the equation. -10t + -3y + 3y = 6 + 3y Combine like terms: -3y + 3y = 0 -10t + 0 = 6 + 3y -10t = 6 + 3y Divide each side by '-10'. t = -0.6 + -0.3y Simplifying t = -0.6 + -0.3y
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