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Simplifying -4y + 6 = -2(3y + 1) Reorder the terms: 6 + -4y = -2(3y + 1) Reorder the terms: 6 + -4y = -2(1 + 3y) 6 + -4y = (1 * -2 + 3y * -2) 6 + -4y = (-2 + -6y) Solving 6 + -4y = -2 + -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. 6 + -4y + 6y = -2 + -6y + 6y Combine like terms: -4y + 6y = 2y 6 + 2y = -2 + -6y + 6y Combine like terms: -6y + 6y = 0 6 + 2y = -2 + 0 6 + 2y = -2 Add '-6' to each side of the equation. 6 + -6 + 2y = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 2y = -2 + -6 2y = -2 + -6 Combine like terms: -2 + -6 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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