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Simplifying 6y + -2(3 + y) = 2y + 10 6y + (3 * -2 + y * -2) = 2y + 10 6y + (-6 + -2y) = 2y + 10 Reorder the terms: -6 + 6y + -2y = 2y + 10 Combine like terms: 6y + -2y = 4y -6 + 4y = 2y + 10 Reorder the terms: -6 + 4y = 10 + 2y Solving -6 + 4y = 10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -6 + 4y + -2y = 10 + 2y + -2y Combine like terms: 4y + -2y = 2y -6 + 2y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + 2y = 10 + 0 -6 + 2y = 10 Add '6' to each side of the equation. -6 + 6 + 2y = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2y = 10 + 6 2y = 10 + 6 Combine like terms: 10 + 6 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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