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Simplifying 2(y + -4) = 6(y + 2) Reorder the terms: 2(-4 + y) = 6(y + 2) (-4 * 2 + y * 2) = 6(y + 2) (-8 + 2y) = 6(y + 2) Reorder the terms: -8 + 2y = 6(2 + y) -8 + 2y = (2 * 6 + y * 6) -8 + 2y = (12 + 6y) Solving -8 + 2y = 12 + 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. -8 + 2y + -6y = 12 + 6y + -6y Combine like terms: 2y + -6y = -4y -8 + -4y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + -4y = 12 + 0 -8 + -4y = 12 Add '8' to each side of the equation. -8 + 8 + -4y = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -4y = 12 + 8 -4y = 12 + 8 Combine like terms: 12 + 8 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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