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Simplifying 9(y + -4) + -7 = 5(3y + -2) Reorder the terms: 9(-4 + y) + -7 = 5(3y + -2) (-4 * 9 + y * 9) + -7 = 5(3y + -2) (-36 + 9y) + -7 = 5(3y + -2) Reorder the terms: -36 + -7 + 9y = 5(3y + -2) Combine like terms: -36 + -7 = -43 -43 + 9y = 5(3y + -2) Reorder the terms: -43 + 9y = 5(-2 + 3y) -43 + 9y = (-2 * 5 + 3y * 5) -43 + 9y = (-10 + 15y) Solving -43 + 9y = -10 + 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. -43 + 9y + -15y = -10 + 15y + -15y Combine like terms: 9y + -15y = -6y -43 + -6y = -10 + 15y + -15y Combine like terms: 15y + -15y = 0 -43 + -6y = -10 + 0 -43 + -6y = -10 Add '43' to each side of the equation. -43 + 43 + -6y = -10 + 43 Combine like terms: -43 + 43 = 0 0 + -6y = -10 + 43 -6y = -10 + 43 Combine like terms: -10 + 43 = 33 -6y = 33 Divide each side by '-6'. y = -5.5 Simplifying y = -5.5
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