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Simplifying -5(ty + -7) + 2(4y + 9) = 0 Reorder the terms: -5(-7 + ty) + 2(4y + 9) = 0 (-7 * -5 + ty * -5) + 2(4y + 9) = 0 (35 + -5ty) + 2(4y + 9) = 0 Reorder the terms: 35 + -5ty + 2(9 + 4y) = 0 35 + -5ty + (9 * 2 + 4y * 2) = 0 35 + -5ty + (18 + 8y) = 0 Reorder the terms: 35 + 18 + -5ty + 8y = 0 Combine like terms: 35 + 18 = 53 53 + -5ty + 8y = 0 Solving 53 + -5ty + 8y = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -5ty + -53 + 8y = 0 + -53 Reorder the terms: 53 + -53 + -5ty + 8y = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -5ty + 8y = 0 + -53 -5ty + 8y = 0 + -53 Combine like terms: 0 + -53 = -53 -5ty + 8y = -53 Add '-8y' to each side of the equation. -5ty + 8y + -8y = -53 + -8y Combine like terms: 8y + -8y = 0 -5ty + 0 = -53 + -8y -5ty = -53 + -8y Divide each side by '-5y'. t = 10.6y-1 + 1.6 Simplifying t = 10.6y-1 + 1.6 Reorder the terms: t = 1.6 + 10.6y-1
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