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Simplifying -46 + 7y + 9 = 3(4y + -2) + -6 Reorder the terms: -46 + 9 + 7y = 3(4y + -2) + -6 Combine like terms: -46 + 9 = -37 -37 + 7y = 3(4y + -2) + -6 Reorder the terms: -37 + 7y = 3(-2 + 4y) + -6 -37 + 7y = (-2 * 3 + 4y * 3) + -6 -37 + 7y = (-6 + 12y) + -6 Reorder the terms: -37 + 7y = -6 + -6 + 12y Combine like terms: -6 + -6 = -12 -37 + 7y = -12 + 12y Solving -37 + 7y = -12 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -37 + 7y + -12y = -12 + 12y + -12y Combine like terms: 7y + -12y = -5y -37 + -5y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 -37 + -5y = -12 + 0 -37 + -5y = -12 Add '37' to each side of the equation. -37 + 37 + -5y = -12 + 37 Combine like terms: -37 + 37 = 0 0 + -5y = -12 + 37 -5y = -12 + 37 Combine like terms: -12 + 37 = 25 -5y = 25 Divide each side by '-5'. y = -5 Simplifying y = -5
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