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Simplifying 2(5y + -2) = 10 + 3y Reorder the terms: 2(-2 + 5y) = 10 + 3y (-2 * 2 + 5y * 2) = 10 + 3y (-4 + 10y) = 10 + 3y Solving -4 + 10y = 10 + 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. -4 + 10y + -3y = 10 + 3y + -3y Combine like terms: 10y + -3y = 7y -4 + 7y = 10 + 3y + -3y Combine like terms: 3y + -3y = 0 -4 + 7y = 10 + 0 -4 + 7y = 10 Add '4' to each side of the equation. -4 + 4 + 7y = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 7y = 10 + 4 7y = 10 + 4 Combine like terms: 10 + 4 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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