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Simplifying 1y + 8(z + -2) = 7z + 2 Reorder the terms: 1y + 8(-2 + z) = 7z + 2 1y + (-2 * 8 + z * 8) = 7z + 2 1y + (-16 + 8z) = 7z + 2 Reorder the terms: -16 + 1y + 8z = 7z + 2 Reorder the terms: -16 + 1y + 8z = 2 + 7z Solving -16 + 1y + 8z = 2 + 7z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 1y + 16 + 8z = 2 + 16 + 7z Reorder the terms: -16 + 16 + 1y + 8z = 2 + 16 + 7z Combine like terms: -16 + 16 = 0 0 + 1y + 8z = 2 + 16 + 7z 1y + 8z = 2 + 16 + 7z Combine like terms: 2 + 16 = 18 1y + 8z = 18 + 7z Add '-8z' to each side of the equation. 1y + 8z + -8z = 18 + 7z + -8z Combine like terms: 8z + -8z = 0 1y + 0 = 18 + 7z + -8z 1y = 18 + 7z + -8z Combine like terms: 7z + -8z = -1z 1y = 18 + -1z Divide each side by '1'. y = 18 + -1z Simplifying y = 18 + -1z
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