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Simplifying 2(5y + -2) = 12 + 6y Reorder the terms: 2(-2 + 5y) = 12 + 6y (-2 * 2 + 5y * 2) = 12 + 6y (-4 + 10y) = 12 + 6y Solving -4 + 10y = 12 + 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. -4 + 10y + -6y = 12 + 6y + -6y Combine like terms: 10y + -6y = 4y -4 + 4y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -4 + 4y = 12 + 0 -4 + 4y = 12 Add '4' to each side of the equation. -4 + 4 + 4y = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4y = 12 + 4 4y = 12 + 4 Combine like terms: 12 + 4 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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