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Simplifying 9y + 3 = 6(y + -7) Reorder the terms: 3 + 9y = 6(y + -7) Reorder the terms: 3 + 9y = 6(-7 + y) 3 + 9y = (-7 * 6 + y * 6) 3 + 9y = (-42 + 6y) Solving 3 + 9y = -42 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 3 + 9y + -6y = -42 + 6y + -6y Combine like terms: 9y + -6y = 3y 3 + 3y = -42 + 6y + -6y Combine like terms: 6y + -6y = 0 3 + 3y = -42 + 0 3 + 3y = -42 Add '-3' to each side of the equation. 3 + -3 + 3y = -42 + -3 Combine like terms: 3 + -3 = 0 0 + 3y = -42 + -3 3y = -42 + -3 Combine like terms: -42 + -3 = -45 3y = -45 Divide each side by '3'. y = -15 Simplifying y = -15
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