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Simplifying -4(y + 2) + 2 = 2(y + 6) Reorder the terms: -4(2 + y) + 2 = 2(y + 6) (2 * -4 + y * -4) + 2 = 2(y + 6) (-8 + -4y) + 2 = 2(y + 6) Reorder the terms: -8 + 2 + -4y = 2(y + 6) Combine like terms: -8 + 2 = -6 -6 + -4y = 2(y + 6) Reorder the terms: -6 + -4y = 2(6 + y) -6 + -4y = (6 * 2 + y * 2) -6 + -4y = (12 + 2y) Solving -6 + -4y = 12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -6 + -4y + -2y = 12 + 2y + -2y Combine like terms: -4y + -2y = -6y -6 + -6y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + -6y = 12 + 0 -6 + -6y = 12 Add '6' to each side of the equation. -6 + 6 + -6y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6y = 12 + 6 -6y = 12 + 6 Combine like terms: 12 + 6 = 18 -6y = 18 Divide each side by '-6'. y = -3 Simplifying y = -3
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