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Simplifying 8(y + 2) + -3(y + -4) = 6(t + -7) + 8 Reorder the terms: 8(2 + y) + -3(y + -4) = 6(t + -7) + 8 (2 * 8 + y * 8) + -3(y + -4) = 6(t + -7) + 8 (16 + 8y) + -3(y + -4) = 6(t + -7) + 8 Reorder the terms: 16 + 8y + -3(-4 + y) = 6(t + -7) + 8 16 + 8y + (-4 * -3 + y * -3) = 6(t + -7) + 8 16 + 8y + (12 + -3y) = 6(t + -7) + 8 Reorder the terms: 16 + 12 + 8y + -3y = 6(t + -7) + 8 Combine like terms: 16 + 12 = 28 28 + 8y + -3y = 6(t + -7) + 8 Combine like terms: 8y + -3y = 5y 28 + 5y = 6(t + -7) + 8 Reorder the terms: 28 + 5y = 6(-7 + t) + 8 28 + 5y = (-7 * 6 + t * 6) + 8 28 + 5y = (-42 + 6t) + 8 Reorder the terms: 28 + 5y = -42 + 8 + 6t Combine like terms: -42 + 8 = -34 28 + 5y = -34 + 6t Solving 28 + 5y = -34 + 6t Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 5y = -34 + -28 + 6t Combine like terms: 28 + -28 = 0 0 + 5y = -34 + -28 + 6t 5y = -34 + -28 + 6t Combine like terms: -34 + -28 = -62 5y = -62 + 6t Divide each side by '5'. y = -12.4 + 1.2t Simplifying y = -12.4 + 1.2t
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