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Simplifying 2y + -3t + 5y + 10 = 42 Reorder the terms: 10 + -3t + 2y + 5y = 42 Combine like terms: 2y + 5y = 7y 10 + -3t + 7y = 42 Solving 10 + -3t + 7y = 42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -3t + -10 + 7y = 42 + -10 Reorder the terms: 10 + -10 + -3t + 7y = 42 + -10 Combine like terms: 10 + -10 = 0 0 + -3t + 7y = 42 + -10 -3t + 7y = 42 + -10 Combine like terms: 42 + -10 = 32 -3t + 7y = 32 Add '-7y' to each side of the equation. -3t + 7y + -7y = 32 + -7y Combine like terms: 7y + -7y = 0 -3t + 0 = 32 + -7y -3t = 32 + -7y Divide each side by '-3'. t = -10.66666667 + 2.333333333y Simplifying t = -10.66666667 + 2.333333333y
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