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Simplifying -46 + 10y + 9 = 5(3y + -2) + -7 Reorder the terms: -46 + 9 + 10y = 5(3y + -2) + -7 Combine like terms: -46 + 9 = -37 -37 + 10y = 5(3y + -2) + -7 Reorder the terms: -37 + 10y = 5(-2 + 3y) + -7 -37 + 10y = (-2 * 5 + 3y * 5) + -7 -37 + 10y = (-10 + 15y) + -7 Reorder the terms: -37 + 10y = -10 + -7 + 15y Combine like terms: -10 + -7 = -17 -37 + 10y = -17 + 15y Solving -37 + 10y = -17 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -37 + 10y + -15y = -17 + 15y + -15y Combine like terms: 10y + -15y = -5y -37 + -5y = -17 + 15y + -15y Combine like terms: 15y + -15y = 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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