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Simplifying 5(y + 7) = -3(y + -1) Reorder the terms: 5(7 + y) = -3(y + -1) (7 * 5 + y * 5) = -3(y + -1) (35 + 5y) = -3(y + -1) Reorder the terms: 35 + 5y = -3(-1 + y) 35 + 5y = (-1 * -3 + y * -3) 35 + 5y = (3 + -3y) Solving 35 + 5y = 3 + -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. 35 + 5y + 3y = 3 + -3y + 3y Combine like terms: 5y + 3y = 8y 35 + 8y = 3 + -3y + 3y Combine like terms: -3y + 3y = 0 35 + 8y = 3 + 0 35 + 8y = 3 Add '-35' to each side of the equation. 35 + -35 + 8y = 3 + -35 Combine like terms: 35 + -35 = 0 0 + 8y = 3 + -35 8y = 3 + -35 Combine like terms: 3 + -35 = -32 8y = -32 Divide each side by '8'. y = -4 Simplifying y = -4
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