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Simplifying -1.6(2t + 15) = -1.2(2y + -10) Reorder the terms: -1.6(15 + 2t) = -1.2(2y + -10) (15 * -1.6 + 2t * -1.6) = -1.2(2y + -10) (-24 + -3.2t) = -1.2(2y + -10) Reorder the terms: -24 + -3.2t = -1.2(-10 + 2y) -24 + -3.2t = (-10 * -1.2 + 2y * -1.2) -24 + -3.2t = (12 + -2.4y) Solving -24 + -3.2t = 12 + -2.4y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -3.2t = 12 + 24 + -2.4y Combine like terms: -24 + 24 = 0 0 + -3.2t = 12 + 24 + -2.4y -3.2t = 12 + 24 + -2.4y Combine like terms: 12 + 24 = 36 -3.2t = 36 + -2.4y Divide each side by '-3.2'. t = -11.25 + 0.75y Simplifying t = -11.25 + 0.75y
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