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Simplifying 2y + 2 + -3(-3y + -2) = 3(y + -2) Reorder the terms: 2y + 2 + -3(-2 + -3y) = 3(y + -2) 2y + 2 + (-2 * -3 + -3y * -3) = 3(y + -2) 2y + 2 + (6 + 9y) = 3(y + -2) Reorder the terms: 2 + 6 + 2y + 9y = 3(y + -2) Combine like terms: 2 + 6 = 8 8 + 2y + 9y = 3(y + -2) Combine like terms: 2y + 9y = 11y 8 + 11y = 3(y + -2) Reorder the terms: 8 + 11y = 3(-2 + y) 8 + 11y = (-2 * 3 + y * 3) 8 + 11y = (-6 + 3y) Solving 8 + 11y = -6 + 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. 8 + 11y + -3y = -6 + 3y + -3y Combine like terms: 11y + -3y = 8y 8 + 8y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 8y = -6 + 0 8 + 8y = -6 Add '-8' to each side of the equation. 8 + -8 + 8y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 8y = -6 + -8 8y = -6 + -8 Combine like terms: -6 + -8 = -14 8y = -14 Divide each side by '8'. y = -1.75 Simplifying y = -1.75
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