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Simplifying -2 = -4(-7t + 1) + 5(8 + 2y) Reorder the terms: -2 = -4(1 + -7t) + 5(8 + 2y) -2 = (1 * -4 + -7t * -4) + 5(8 + 2y) -2 = (-4 + 28t) + 5(8 + 2y) -2 = -4 + 28t + (8 * 5 + 2y * 5) -2 = -4 + 28t + (40 + 10y) Reorder the terms: -2 = -4 + 40 + 28t + 10y Combine like terms: -4 + 40 = 36 -2 = 36 + 28t + 10y Solving -2 = 36 + 28t + 10y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28t' to each side of the equation. -2 + -28t = 36 + 28t + -28t + 10y Combine like terms: 28t + -28t = 0 -2 + -28t = 36 + 0 + 10y -2 + -28t = 36 + 10y Add '2' to each side of the equation. -2 + 2 + -28t = 36 + 2 + 10y Combine like terms: -2 + 2 = 0 0 + -28t = 36 + 2 + 10y -28t = 36 + 2 + 10y Combine like terms: 36 + 2 = 38 -28t = 38 + 10y Divide each side by '-28'. t = -1.357142857 + -0.3571428571y Simplifying t = -1.357142857 + -0.3571428571y
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