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Simplifying -40 + 7y + 3 = 3(4y + -3) + -8 Reorder the terms: -40 + 3 + 7y = 3(4y + -3) + -8 Combine like terms: -40 + 3 = -37 -37 + 7y = 3(4y + -3) + -8 Reorder the terms: -37 + 7y = 3(-3 + 4y) + -8 -37 + 7y = (-3 * 3 + 4y * 3) + -8 -37 + 7y = (-9 + 12y) + -8 Reorder the terms: -37 + 7y = -9 + -8 + 12y Combine like terms: -9 + -8 = -17 -37 + 7y = -17 + 12y Solving -37 + 7y = -17 + 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 = -17 + 12y + -12y Combine like terms: 7y + -12y = -5y -37 + -5y = -17 + 12y + -12y Combine like terms: 12y + -12y = 0 -37 + -5y = -17 + 0 -37 + -5y = -17 Add '37' to each side of the equation. -37 + 37 + -5y = -17 + 37 Combine like terms: -37 + 37 = 0 0 + -5y = -17 + 37 -5y = -17 + 37 Combine like terms: -17 + 37 = 20 -5y = 20 Divide each side by '-5'. y = -4 Simplifying y = -4
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