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Simplifying 5y + 1 = -1(3y + -7) Reorder the terms: 1 + 5y = -1(3y + -7) Reorder the terms: 1 + 5y = -1(-7 + 3y) 1 + 5y = (-7 * -1 + 3y * -1) 1 + 5y = (7 + -3y) Solving 1 + 5y = 7 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 1 + 5y + 3y = 7 + -3y + 3y Combine like terms: 5y + 3y = 8y 1 + 8y = 7 + -3y + 3y Combine like terms: -3y + 3y = 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 = 6 8y = 6 Divide each side by '8'. y = 0.75 Simplifying y = 0.75
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