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Simplifying 16 + -5(t + -4) = 8(6 + -9y) Reorder the terms: 16 + -5(-4 + t) = 8(6 + -9y) 16 + (-4 * -5 + t * -5) = 8(6 + -9y) 16 + (20 + -5t) = 8(6 + -9y) Combine like terms: 16 + 20 = 36 36 + -5t = 8(6 + -9y) 36 + -5t = (6 * 8 + -9y * 8) 36 + -5t = (48 + -72y) Solving 36 + -5t = 48 + -72y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -5t = 48 + -36 + -72y Combine like terms: 36 + -36 = 0 0 + -5t = 48 + -36 + -72y -5t = 48 + -36 + -72y Combine like terms: 48 + -36 = 12 -5t = 12 + -72y Divide each side by '-5'. t = -2.4 + 14.4y Simplifying t = -2.4 + 14.4y
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