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Simplifying -1y + 5 + -7 = -2y + -6 + 3y Reorder the terms: 5 + -7 + -1y = -2y + -6 + 3y Combine like terms: 5 + -7 = -2 -2 + -1y = -2y + -6 + 3y Reorder the terms: -2 + -1y = -6 + -2y + 3y Combine like terms: -2y + 3y = 1y -2 + -1y = -6 + 1y Solving -2 + -1y = -6 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -2 + -1y + -1y = -6 + 1y + -1y Combine like terms: -1y + -1y = -2y -2 + -2y = -6 + 1y + -1y Combine like terms: 1y + -1y = 0 -2 + -2y = -6 + 0 -2 + -2y = -6 Add '2' to each side of the equation. -2 + 2 + -2y = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -2y = -6 + 2 -2y = -6 + 2 Combine like terms: -6 + 2 = -4 -2y = -4 Divide each side by '-2'. y = 2 Simplifying y = 2
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