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Simplifying 4(3 + -2y) + -42 = 2(3 + 2y) (3 * 4 + -2y * 4) + -42 = 2(3 + 2y) (12 + -8y) + -42 = 2(3 + 2y) Reorder the terms: 12 + -42 + -8y = 2(3 + 2y) Combine like terms: 12 + -42 = -30 -30 + -8y = 2(3 + 2y) -30 + -8y = (3 * 2 + 2y * 2) -30 + -8y = (6 + 4y) Solving -30 + -8y = 6 + 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. -30 + -8y + -4y = 6 + 4y + -4y Combine like terms: -8y + -4y = -12y -30 + -12y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -30 + -12y = 6 + 0 -30 + -12y = 6 Add '30' to each side of the equation. -30 + 30 + -12y = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -12y = 6 + 30 -12y = 6 + 30 Combine like terms: 6 + 30 = 36 -12y = 36 Divide each side by '-12'. y = -3 Simplifying y = -3
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