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Simplifying y + -1 = 2y + -7 Reorder the terms: -1 + y = 2y + -7 Reorder the terms: -1 + y = -7 + 2y Solving -1 + y = -7 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -1 + y + -2y = -7 + 2y + -2y Combine like terms: y + -2y = -1y -1 + -1y = -7 + 2y + -2y Combine like terms: 2y + -2y = 0 -1 + -1y = -7 + 0 -1 + -1y = -7 Add '1' to each side of the equation. -1 + 1 + -1y = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = -7 + 1 -1y = -7 + 1 Combine like terms: -7 + 1 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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