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Simplifying 14 + -3(5t + 2y) = 4y + -1(6 + -9y) 14 + (5t * -3 + 2y * -3) = 4y + -1(6 + -9y) 14 + (-15t + -6y) = 4y + -1(6 + -9y) 14 + -15t + -6y = 4y + (6 * -1 + -9y * -1) 14 + -15t + -6y = 4y + (-6 + 9y) Reorder the terms: 14 + -15t + -6y = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 14 + -15t + -6y = -6 + 13y Solving 14 + -15t + -6y = -6 + 13y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -15t + -14 + -6y = -6 + -14 + 13y Reorder the terms: 14 + -14 + -15t + -6y = -6 + -14 + 13y Combine like terms: 14 + -14 = 0 0 + -15t + -6y = -6 + -14 + 13y -15t + -6y = -6 + -14 + 13y Combine like terms: -6 + -14 = -20 -15t + -6y = -20 + 13y Add '6y' to each side of the equation. -15t + -6y + 6y = -20 + 13y + 6y Combine like terms: -6y + 6y = 0 -15t + 0 = -20 + 13y + 6y -15t = -20 + 13y + 6y Combine like terms: 13y + 6y = 19y -15t = -20 + 19y Divide each side by '-15'. t = 1.333333333 + -1.266666667y Simplifying t = 1.333333333 + -1.266666667y
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