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Simplifying 14 + -3(5t + -12) = 4y + -1(6 + -9y) Reorder the terms: 14 + -3(-12 + 5t) = 4y + -1(6 + -9y) 14 + (-12 * -3 + 5t * -3) = 4y + -1(6 + -9y) 14 + (36 + -15t) = 4y + -1(6 + -9y) Combine like terms: 14 + 36 = 50 50 + -15t = 4y + -1(6 + -9y) 50 + -15t = 4y + (6 * -1 + -9y * -1) 50 + -15t = 4y + (-6 + 9y) Reorder the terms: 50 + -15t = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 50 + -15t = -6 + 13y Solving 50 + -15t = -6 + 13y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -15t = -6 + -50 + 13y Combine like terms: 50 + -50 = 0 0 + -15t = -6 + -50 + 13y -15t = -6 + -50 + 13y Combine like terms: -6 + -50 = -56 -15t = -56 + 13y Divide each side by '-15'. t = 3.733333333 + -0.8666666667y Simplifying t = 3.733333333 + -0.8666666667y
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