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Simplifying 3y + -3ty + 49 = 7y + 50 + -5y Reorder the terms: 49 + -3ty + 3y = 7y + 50 + -5y Reorder the terms: 49 + -3ty + 3y = 50 + 7y + -5y Combine like terms: 7y + -5y = 2y 49 + -3ty + 3y = 50 + 2y Solving 49 + -3ty + 3y = 50 + 2y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -3ty + -49 + 3y = 50 + -49 + 2y Reorder the terms: 49 + -49 + -3ty + 3y = 50 + -49 + 2y Combine like terms: 49 + -49 = 0 0 + -3ty + 3y = 50 + -49 + 2y -3ty + 3y = 50 + -49 + 2y Combine like terms: 50 + -49 = 1 -3ty + 3y = 1 + 2y Add '-3y' to each side of the equation. -3ty + 3y + -3y = 1 + 2y + -3y Combine like terms: 3y + -3y = 0 -3ty + 0 = 1 + 2y + -3y -3ty = 1 + 2y + -3y Combine like terms: 2y + -3y = -1y -3ty = 1 + -1y Divide each side by '-3y'. t = -0.3333333333y-1 + 0.3333333333 Simplifying t = -0.3333333333y-1 + 0.3333333333 Reorder the terms: t = 0.3333333333 + -0.3333333333y-1
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