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Simplifying -3(4y + -8) = 6y + 150 Reorder the terms: -3(-8 + 4y) = 6y + 150 (-8 * -3 + 4y * -3) = 6y + 150 (24 + -12y) = 6y + 150 Reorder the terms: 24 + -12y = 150 + 6y Solving 24 + -12y = 150 + 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. 24 + -12y + -6y = 150 + 6y + -6y Combine like terms: -12y + -6y = -18y 24 + -18y = 150 + 6y + -6y Combine like terms: 6y + -6y = 0 24 + -18y = 150 + 0 24 + -18y = 150 Add '-24' to each side of the equation. 24 + -24 + -18y = 150 + -24 Combine like terms: 24 + -24 = 0 0 + -18y = 150 + -24 -18y = 150 + -24 Combine like terms: 150 + -24 = 126 -18y = 126 Divide each side by '-18'. y = -7 Simplifying y = -7
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