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Simplifying 6y + -2 = 4 + 3(y + 3) Reorder the terms: -2 + 6y = 4 + 3(y + 3) Reorder the terms: -2 + 6y = 4 + 3(3 + y) -2 + 6y = 4 + (3 * 3 + y * 3) -2 + 6y = 4 + (9 + 3y) Combine like terms: 4 + 9 = 13 -2 + 6y = 13 + 3y Solving -2 + 6y = 13 + 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. -2 + 6y + -3y = 13 + 3y + -3y Combine like terms: 6y + -3y = 3y -2 + 3y = 13 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + 3y = 13 + 0 -2 + 3y = 13 Add '2' to each side of the equation. -2 + 2 + 3y = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 3y = 13 + 2 3y = 13 + 2 Combine like terms: 13 + 2 = 15 3y = 15 Divide each side by '3'. y = 5 Simplifying y = 5
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