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