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Simplifying 7(y + -1) = 8(y + -4) + -2 Reorder the terms: 7(-1 + y) = 8(y + -4) + -2 (-1 * 7 + y * 7) = 8(y + -4) + -2 (-7 + 7y) = 8(y + -4) + -2 Reorder the terms: -7 + 7y = 8(-4 + y) + -2 -7 + 7y = (-4 * 8 + y * 8) + -2 -7 + 7y = (-32 + 8y) + -2 Reorder the terms: -7 + 7y = -32 + -2 + 8y Combine like terms: -32 + -2 = -34 -7 + 7y = -34 + 8y Solving -7 + 7y = -34 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -7 + 7y + -8y = -34 + 8y + -8y Combine like terms: 7y + -8y = -1y -7 + -1y = -34 + 8y + -8y Combine like terms: 8y + -8y = 0 -7 + -1y = -34 + 0 -7 + -1y = -34 Add '7' to each side of the equation. -7 + 7 + -1y = -34 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = -34 + 7 -1y = -34 + 7 Combine like terms: -34 + 7 = -27 -1y = -27 Divide each side by '-1'. y = 27 Simplifying y = 27
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