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Simplifying -43 + 15y + 6 = 4(5y + -2) + -9 Reorder the terms: -43 + 6 + 15y = 4(5y + -2) + -9 Combine like terms: -43 + 6 = -37 -37 + 15y = 4(5y + -2) + -9 Reorder the terms: -37 + 15y = 4(-2 + 5y) + -9 -37 + 15y = (-2 * 4 + 5y * 4) + -9 -37 + 15y = (-8 + 20y) + -9 Reorder the terms: -37 + 15y = -8 + -9 + 20y Combine like terms: -8 + -9 = -17 -37 + 15y = -17 + 20y Solving -37 + 15y = -17 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -37 + 15y + -20y = -17 + 20y + -20y Combine like terms: 15y + -20y = -5y -37 + -5y = -17 + 20y + -20y Combine like terms: 20y + -20y = 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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