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Simplifying -46 + 22y + 9 = 6(4y + -3) + -5 Reorder the terms: -46 + 9 + 22y = 6(4y + -3) + -5 Combine like terms: -46 + 9 = -37 -37 + 22y = 6(4y + -3) + -5 Reorder the terms: -37 + 22y = 6(-3 + 4y) + -5 -37 + 22y = (-3 * 6 + 4y * 6) + -5 -37 + 22y = (-18 + 24y) + -5 Reorder the terms: -37 + 22y = -18 + -5 + 24y Combine like terms: -18 + -5 = -23 -37 + 22y = -23 + 24y Solving -37 + 22y = -23 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -37 + 22y + -24y = -23 + 24y + -24y Combine like terms: 22y + -24y = -2y -37 + -2y = -23 + 24y + -24y Combine like terms: 24y + -24y = 0 -37 + -2y = -23 + 0 -37 + -2y = -23 Add '37' to each side of the equation. -37 + 37 + -2y = -23 + 37 Combine like terms: -37 + 37 = 0 0 + -2y = -23 + 37 -2y = -23 + 37 Combine like terms: -23 + 37 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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