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Simplifying -2y + 2 = -2(3y + 11) Reorder the terms: 2 + -2y = -2(3y + 11) Reorder the terms: 2 + -2y = -2(11 + 3y) 2 + -2y = (11 * -2 + 3y * -2) 2 + -2y = (-22 + -6y) Solving 2 + -2y = -22 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 2 + -2y + 6y = -22 + -6y + 6y Combine like terms: -2y + 6y = 4y 2 + 4y = -22 + -6y + 6y Combine like terms: -6y + 6y = 0 2 + 4y = -22 + 0 2 + 4y = -22 Add '-2' to each side of the equation. 2 + -2 + 4y = -22 + -2 Combine like terms: 2 + -2 = 0 0 + 4y = -22 + -2 4y = -22 + -2 Combine like terms: -22 + -2 = -24 4y = -24 Divide each side by '4'. y = -6 Simplifying y = -6
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