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Simplifying 16 + -5(3t + -4) = 4y + -1(6 + -9y) Reorder the terms: 16 + -5(-4 + 3t) = 4y + -1(6 + -9y) 16 + (-4 * -5 + 3t * -5) = 4y + -1(6 + -9y) 16 + (20 + -15t) = 4y + -1(6 + -9y) Combine like terms: 16 + 20 = 36 36 + -15t = 4y + -1(6 + -9y) 36 + -15t = 4y + (6 * -1 + -9y * -1) 36 + -15t = 4y + (-6 + 9y) Reorder the terms: 36 + -15t = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 36 + -15t = -6 + 13y Solving 36 + -15t = -6 + 13y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -15t = -6 + -36 + 13y Combine like terms: 36 + -36 = 0 0 + -15t = -6 + -36 + 13y -15t = -6 + -36 + 13y Combine like terms: -6 + -36 = -42 -15t = -42 + 13y Divide each side by '-15'. t = 2.8 + -0.8666666667y Simplifying t = 2.8 + -0.8666666667y
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