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Simplifying 10y + -2(3 + -2y) = 4y + 10 + 2y 10y + (3 * -2 + -2y * -2) = 4y + 10 + 2y 10y + (-6 + 4y) = 4y + 10 + 2y Reorder the terms: -6 + 10y + 4y = 4y + 10 + 2y Combine like terms: 10y + 4y = 14y -6 + 14y = 4y + 10 + 2y Reorder the terms: -6 + 14y = 10 + 4y + 2y Combine like terms: 4y + 2y = 6y -6 + 14y = 10 + 6y Solving -6 + 14y = 10 + 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. -6 + 14y + -6y = 10 + 6y + -6y Combine like terms: 14y + -6y = 8y -6 + 8y = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + 8y = 10 + 0 -6 + 8y = 10 Add '6' to each side of the equation. -6 + 6 + 8y = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 8y = 10 + 6 8y = 10 + 6 Combine like terms: 10 + 6 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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