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Simplifying 10y + 7 + -4t = -5 + 6y + 22 Reorder the terms: 7 + -4t + 10y = -5 + 6y + 22 Reorder the terms: 7 + -4t + 10y = -5 + 22 + 6y Combine like terms: -5 + 22 = 17 7 + -4t + 10y = 17 + 6y Solving 7 + -4t + 10y = 17 + 6y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -4t + -7 + 10y = 17 + -7 + 6y Reorder the terms: 7 + -7 + -4t + 10y = 17 + -7 + 6y Combine like terms: 7 + -7 = 0 0 + -4t + 10y = 17 + -7 + 6y -4t + 10y = 17 + -7 + 6y Combine like terms: 17 + -7 = 10 -4t + 10y = 10 + 6y Add '-10y' to each side of the equation. -4t + 10y + -10y = 10 + 6y + -10y Combine like terms: 10y + -10y = 0 -4t + 0 = 10 + 6y + -10y -4t = 10 + 6y + -10y Combine like terms: 6y + -10y = -4y -4t = 10 + -4y Divide each side by '-4'. t = -2.5 + y Simplifying t = -2.5 + y
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