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Simplifying -3 + -7(-1y + 5) = -3(7y + 6) + 1 Reorder the terms: -3 + -7(5 + -1y) = -3(7y + 6) + 1 -3 + (5 * -7 + -1y * -7) = -3(7y + 6) + 1 -3 + (-35 + 7y) = -3(7y + 6) + 1 Combine like terms: -3 + -35 = -38 -38 + 7y = -3(7y + 6) + 1 Reorder the terms: -38 + 7y = -3(6 + 7y) + 1 -38 + 7y = (6 * -3 + 7y * -3) + 1 -38 + 7y = (-18 + -21y) + 1 Reorder the terms: -38 + 7y = -18 + 1 + -21y Combine like terms: -18 + 1 = -17 -38 + 7y = -17 + -21y Solving -38 + 7y = -17 + -21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21y' to each side of the equation. -38 + 7y + 21y = -17 + -21y + 21y Combine like terms: 7y + 21y = 28y -38 + 28y = -17 + -21y + 21y Combine like terms: -21y + 21y = 0 -38 + 28y = -17 + 0 -38 + 28y = -17 Add '38' to each side of the equation. -38 + 38 + 28y = -17 + 38 Combine like terms: -38 + 38 = 0 0 + 28y = -17 + 38 28y = -17 + 38 Combine like terms: -17 + 38 = 21 28y = 21 Divide each side by '28'. y = 0.75 Simplifying y = 0.75
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