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Simplifying 4(6 + -1y) = 2y + -30 (6 * 4 + -1y * 4) = 2y + -30 (24 + -4y) = 2y + -30 Reorder the terms: 24 + -4y = -30 + 2y Solving 24 + -4y = -30 + 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. 24 + -4y + -2y = -30 + 2y + -2y Combine like terms: -4y + -2y = -6y 24 + -6y = -30 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + -6y = -30 + 0 24 + -6y = -30 Add '-24' to each side of the equation. 24 + -24 + -6y = -30 + -24 Combine like terms: 24 + -24 = 0 0 + -6y = -30 + -24 -6y = -30 + -24 Combine like terms: -30 + -24 = -54 -6y = -54 Divide each side by '-6'. y = 9 Simplifying y = 9
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