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Simplifying 5(y + -4) + -7 = -3(-5y + 3) + -2y Reorder the terms: 5(-4 + y) + -7 = -3(-5y + 3) + -2y (-4 * 5 + y * 5) + -7 = -3(-5y + 3) + -2y (-20 + 5y) + -7 = -3(-5y + 3) + -2y Reorder the terms: -20 + -7 + 5y = -3(-5y + 3) + -2y Combine like terms: -20 + -7 = -27 -27 + 5y = -3(-5y + 3) + -2y Reorder the terms: -27 + 5y = -3(3 + -5y) + -2y -27 + 5y = (3 * -3 + -5y * -3) + -2y -27 + 5y = (-9 + 15y) + -2y Combine like terms: 15y + -2y = 13y -27 + 5y = -9 + 13y Solving -27 + 5y = -9 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -27 + 5y + -13y = -9 + 13y + -13y Combine like terms: 5y + -13y = -8y -27 + -8y = -9 + 13y + -13y Combine like terms: 13y + -13y = 0 -27 + -8y = -9 + 0 -27 + -8y = -9 Add '27' to each side of the equation. -27 + 27 + -8y = -9 + 27 Combine like terms: -27 + 27 = 0 0 + -8y = -9 + 27 -8y = -9 + 27 Combine like terms: -9 + 27 = 18 -8y = 18 Divide each side by '-8'. y = -2.25 Simplifying y = -2.25
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