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Simplifying [5y + 1] = [13y + -7] Reorder the terms: [1 + 5y] = [13y + -7] Remove brackets around [1 + 5y] 1 + 5y = [13y + -7] Reorder the terms: 1 + 5y = [-7 + 13y] Remove brackets around [-7 + 13y] 1 + 5y = -7 + 13y Solving 1 + 5y = -7 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 1 + 5y + -13y = -7 + 13y + -13y Combine like terms: 5y + -13y = -8y 1 + -8y = -7 + 13y + -13y Combine like terms: 13y + -13y = 0 1 + -8y = -7 + 0 1 + -8y = -7 Add '-1' to each side of the equation. 1 + -1 + -8y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -8y = -7 + -1 -8y = -7 + -1 Combine like terms: -7 + -1 = -8 -8y = -8 Divide each side by '-8'. y = 1 Simplifying y = 1
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