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Simplifying -53 + 47 + -1(-8) + 7 = 23 + -1(-7) + y Multiply -1 * -8 -53 + 47 + 8 + 7 = 23 + -1(-7) + y Combine like terms: -53 + 47 = -6 -6 + 8 + 7 = 23 + -1(-7) + y Combine like terms: -6 + 8 = 2 2 + 7 = 23 + -1(-7) + y Combine like terms: 2 + 7 = 9 9 = 23 + -1(-7) + y Multiply -1 * -7 9 = 23 + 7 + y Combine like terms: 23 + 7 = 30 9 = 30 + y Solving 9 = 30 + y 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. 9 + -1y = 30 + y + -1y Combine like terms: y + -1y = 0 9 + -1y = 30 + 0 9 + -1y = 30 Add '-9' to each side of the equation. 9 + -9 + -1y = 30 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 30 + -9 -1y = 30 + -9 Combine like terms: 30 + -9 = 21 -1y = 21 Divide each side by '-1'. y = -21 Simplifying y = -21
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