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Simplifying 3y + 3(y + -6) = 7y + -3(y + -10) Reorder the terms: 3y + 3(-6 + y) = 7y + -3(y + -10) 3y + (-6 * 3 + y * 3) = 7y + -3(y + -10) 3y + (-18 + 3y) = 7y + -3(y + -10) Reorder the terms: -18 + 3y + 3y = 7y + -3(y + -10) Combine like terms: 3y + 3y = 6y -18 + 6y = 7y + -3(y + -10) Reorder the terms: -18 + 6y = 7y + -3(-10 + y) -18 + 6y = 7y + (-10 * -3 + y * -3) -18 + 6y = 7y + (30 + -3y) Reorder the terms: -18 + 6y = 30 + 7y + -3y Combine like terms: 7y + -3y = 4y -18 + 6y = 30 + 4y Solving -18 + 6y = 30 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -18 + 6y + -4y = 30 + 4y + -4y Combine like terms: 6y + -4y = 2y -18 + 2y = 30 + 4y + -4y Combine like terms: 4y + -4y = 0 -18 + 2y = 30 + 0 -18 + 2y = 30 Add '18' to each side of the equation. -18 + 18 + 2y = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 2y = 30 + 18 2y = 30 + 18 Combine like terms: 30 + 18 = 48 2y = 48 Divide each side by '2'. y = 24 Simplifying y = 24
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