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Simplifying 3(2y + -2) = 13 + -3y Reorder the terms: 3(-2 + 2y) = 13 + -3y (-2 * 3 + 2y * 3) = 13 + -3y (-6 + 6y) = 13 + -3y Solving -6 + 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. -6 + 6y + 3y = 13 + -3y + 3y Combine like terms: 6y + 3y = 9y -6 + 9y = 13 + -3y + 3y Combine like terms: -3y + 3y = 0 -6 + 9y = 13 + 0 -6 + 9y = 13 Add '6' to each side of the equation. -6 + 6 + 9y = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 9y = 13 + 6 9y = 13 + 6 Combine like terms: 13 + 6 = 19 9y = 19 Divide each side by '9'. y = 2.111111111 Simplifying y = 2.111111111
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