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Simplifying 9y + 10 = 5(y + -6) Reorder the terms: 10 + 9y = 5(y + -6) Reorder the terms: 10 + 9y = 5(-6 + y) 10 + 9y = (-6 * 5 + y * 5) 10 + 9y = (-30 + 5y) Solving 10 + 9y = -30 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 10 + 9y + -5y = -30 + 5y + -5y Combine like terms: 9y + -5y = 4y 10 + 4y = -30 + 5y + -5y Combine like terms: 5y + -5y = 0 10 + 4y = -30 + 0 10 + 4y = -30 Add '-10' to each side of the equation. 10 + -10 + 4y = -30 + -10 Combine like terms: 10 + -10 = 0 0 + 4y = -30 + -10 4y = -30 + -10 Combine like terms: -30 + -10 = -40 4y = -40 Divide each side by '4'. y = -10 Simplifying y = -10
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