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Simplifying -4y + 2 = -2(3y + 5) Reorder the terms: 2 + -4y = -2(3y + 5) Reorder the terms: 2 + -4y = -2(5 + 3y) 2 + -4y = (5 * -2 + 3y * -2) 2 + -4y = (-10 + -6y) Solving 2 + -4y = -10 + -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 + -4y + 6y = -10 + -6y + 6y Combine like terms: -4y + 6y = 2y 2 + 2y = -10 + -6y + 6y Combine like terms: -6y + 6y = 0 2 + 2y = -10 + 0 2 + 2y = -10 Add '-2' to each side of the equation. 2 + -2 + 2y = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = -10 + -2 2y = -10 + -2 Combine like terms: -10 + -2 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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