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Simplifying 5(3y + 7) = 14 + -3(y + -7) Reorder the terms: 5(7 + 3y) = 14 + -3(y + -7) (7 * 5 + 3y * 5) = 14 + -3(y + -7) (35 + 15y) = 14 + -3(y + -7) Reorder the terms: 35 + 15y = 14 + -3(-7 + y) 35 + 15y = 14 + (-7 * -3 + y * -3) 35 + 15y = 14 + (21 + -3y) Combine like terms: 14 + 21 = 35 35 + 15y = 35 + -3y Add '-35' to each side of the equation. 35 + -35 + 15y = 35 + -35 + -3y Combine like terms: 35 + -35 = 0 0 + 15y = 35 + -35 + -3y 15y = 35 + -35 + -3y Combine like terms: 35 + -35 = 0 15y = 0 + -3y 15y = -3y Solving 15y = -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. 15y + 3y = -3y + 3y Combine like terms: 15y + 3y = 18y 18y = -3y + 3y Combine like terms: -3y + 3y = 0 18y = 0 Divide each side by '18'. y = 0 Simplifying y = 0
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