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Simplifying 3.1(y + 2) + -1.5t = 5.2(y + -4) Reorder the terms: 3.1(2 + y) + -1.5t = 5.2(y + -4) (2 * 3.1 + y * 3.1) + -1.5t = 5.2(y + -4) (6.2 + 3.1y) + -1.5t = 5.2(y + -4) Reorder the terms: 6.2 + -1.5t + 3.1y = 5.2(y + -4) Reorder the terms: 6.2 + -1.5t + 3.1y = 5.2(-4 + y) 6.2 + -1.5t + 3.1y = (-4 * 5.2 + y * 5.2) 6.2 + -1.5t + 3.1y = (-20.8 + 5.2y) Solving 6.2 + -1.5t + 3.1y = -20.8 + 5.2y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.2' to each side of the equation. 6.2 + -1.5t + -6.2 + 3.1y = -20.8 + -6.2 + 5.2y Reorder the terms: 6.2 + -6.2 + -1.5t + 3.1y = -20.8 + -6.2 + 5.2y Combine like terms: 6.2 + -6.2 = 0.0 0.0 + -1.5t + 3.1y = -20.8 + -6.2 + 5.2y -1.5t + 3.1y = -20.8 + -6.2 + 5.2y Combine like terms: -20.8 + -6.2 = -27 -1.5t + 3.1y = -27 + 5.2y Add '-3.1y' to each side of the equation. -1.5t + 3.1y + -3.1y = -27 + 5.2y + -3.1y Combine like terms: 3.1y + -3.1y = 0.0 -1.5t + 0.0 = -27 + 5.2y + -3.1y -1.5t = -27 + 5.2y + -3.1y Combine like terms: 5.2y + -3.1y = 2.1y -1.5t = -27 + 2.1y Divide each side by '-1.5'. t = 18 + -1.4y Simplifying t = 18 + -1.4y
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