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Simplifying -3(1 + 6y) + 7(-1y + 5) = -8 (1 * -3 + 6y * -3) + 7(-1y + 5) = -8 (-3 + -18y) + 7(-1y + 5) = -8 Reorder the terms: -3 + -18y + 7(5 + -1y) = -8 -3 + -18y + (5 * 7 + -1y * 7) = -8 -3 + -18y + (35 + -7y) = -8 Reorder the terms: -3 + 35 + -18y + -7y = -8 Combine like terms: -3 + 35 = 32 32 + -18y + -7y = -8 Combine like terms: -18y + -7y = -25y 32 + -25y = -8 Solving 32 + -25y = -8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -25y = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -25y = -8 + -32 -25y = -8 + -32 Combine like terms: -8 + -32 = -40 -25y = -40 Divide each side by '-25'. y = 1.6 Simplifying y = 1.6
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