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Simplifying 2y + 7 = -2y + -1 Reorder the terms: 7 + 2y = -2y + -1 Reorder the terms: 7 + 2y = -1 + -2y Solving 7 + 2y = -1 + -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. 7 + 2y + 2y = -1 + -2y + 2y Combine like terms: 2y + 2y = 4y 7 + 4y = -1 + -2y + 2y Combine like terms: -2y + 2y = 0 7 + 4y = -1 + 0 7 + 4y = -1 Add '-7' to each side of the equation. 7 + -7 + 4y = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = -1 + -7 4y = -1 + -7 Combine like terms: -1 + -7 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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