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Simplifying 9(y + -4) + -7t = 5(3y + -2) Reorder the terms: 9(-4 + y) + -7t = 5(3y + -2) (-4 * 9 + y * 9) + -7t = 5(3y + -2) (-36 + 9y) + -7t = 5(3y + -2) Reorder the terms: -36 + -7t + 9y = 5(3y + -2) Reorder the terms: -36 + -7t + 9y = 5(-2 + 3y) -36 + -7t + 9y = (-2 * 5 + 3y * 5) -36 + -7t + 9y = (-10 + 15y) Solving -36 + -7t + 9y = -10 + 15y 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 + -7t + 36 + 9y = -10 + 36 + 15y Reorder the terms: -36 + 36 + -7t + 9y = -10 + 36 + 15y Combine like terms: -36 + 36 = 0 0 + -7t + 9y = -10 + 36 + 15y -7t + 9y = -10 + 36 + 15y Combine like terms: -10 + 36 = 26 -7t + 9y = 26 + 15y Add '-9y' to each side of the equation. -7t + 9y + -9y = 26 + 15y + -9y Combine like terms: 9y + -9y = 0 -7t + 0 = 26 + 15y + -9y -7t = 26 + 15y + -9y Combine like terms: 15y + -9y = 6y -7t = 26 + 6y Divide each side by '-7'. t = -3.714285714 + -0.8571428571y Simplifying t = -3.714285714 + -0.8571428571y
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