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Simplifying -7(y + 2t) + -3(y + -1t) = 0 Reorder the terms: -7(2t + y) + -3(y + -1t) = 0 (2t * -7 + y * -7) + -3(y + -1t) = 0 (-14t + -7y) + -3(y + -1t) = 0 Reorder the terms: -14t + -7y + -3(-1t + y) = 0 -14t + -7y + (-1t * -3 + y * -3) = 0 -14t + -7y + (3t + -3y) = 0 Reorder the terms: -14t + 3t + -7y + -3y = 0 Combine like terms: -14t + 3t = -11t -11t + -7y + -3y = 0 Combine like terms: -7y + -3y = -10y -11t + -10y = 0 Solving -11t + -10y = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10y' to each side of the equation. -11t + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 -11t + 0 = 0 + 10y -11t = 0 + 10y Remove the zero: -11t = 10y Divide each side by '-11'. t = -0.9090909091y Simplifying t = -0.9090909091y
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