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Simplifying 6y + -3 = 10 + 5(y + -2) Reorder the terms: -3 + 6y = 10 + 5(y + -2) Reorder the terms: -3 + 6y = 10 + 5(-2 + y) -3 + 6y = 10 + (-2 * 5 + y * 5) -3 + 6y = 10 + (-10 + 5y) Combine like terms: 10 + -10 = 0 -3 + 6y = 0 + 5y -3 + 6y = 5y Solving -3 + 6y = 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. -3 + 6y + -5y = 5y + -5y Combine like terms: 6y + -5y = 1y -3 + 1y = 5y + -5y Combine like terms: 5y + -5y = 0 -3 + 1y = 0 Add '3' to each side of the equation. -3 + 3 + 1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1y = 0 + 3 1y = 0 + 3 Combine like terms: 0 + 3 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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