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Simplifying 6(y + 8) = 3(2t + -7) Reorder the terms: 6(8 + y) = 3(2t + -7) (8 * 6 + y * 6) = 3(2t + -7) (48 + 6y) = 3(2t + -7) Reorder the terms: 48 + 6y = 3(-7 + 2t) 48 + 6y = (-7 * 3 + 2t * 3) 48 + 6y = (-21 + 6t) Solving 48 + 6y = -21 + 6t Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 6y = -21 + -48 + 6t Combine like terms: 48 + -48 = 0 0 + 6y = -21 + -48 + 6t 6y = -21 + -48 + 6t Combine like terms: -21 + -48 = -69 6y = -69 + 6t Divide each side by '6'. y = -11.5 + t Simplifying y = -11.5 + t
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