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Simplifying -2(y + 6) + -6y = 4(y + 3) Reorder the terms: -2(6 + y) + -6y = 4(y + 3) (6 * -2 + y * -2) + -6y = 4(y + 3) (-12 + -2y) + -6y = 4(y + 3) Combine like terms: -2y + -6y = -8y -12 + -8y = 4(y + 3) Reorder the terms: -12 + -8y = 4(3 + y) -12 + -8y = (3 * 4 + y * 4) -12 + -8y = (12 + 4y) Solving -12 + -8y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -12 + -8y + -4y = 12 + 4y + -4y Combine like terms: -8y + -4y = -12y -12 + -12y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 -12 + -12y = 12 + 0 -12 + -12y = 12 Add '12' to each side of the equation. -12 + 12 + -12y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -12y = 12 + 12 -12y = 12 + 12 Combine like terms: 12 + 12 = 24 -12y = 24 Divide each side by '-12'. y = -2 Simplifying y = -2
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