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Simplifying 5(y + -4) + -4 = -4(-4y + 9) + -3y Reorder the terms: 5(-4 + y) + -4 = -4(-4y + 9) + -3y (-4 * 5 + y * 5) + -4 = -4(-4y + 9) + -3y (-20 + 5y) + -4 = -4(-4y + 9) + -3y Reorder the terms: -20 + -4 + 5y = -4(-4y + 9) + -3y Combine like terms: -20 + -4 = -24 -24 + 5y = -4(-4y + 9) + -3y Reorder the terms: -24 + 5y = -4(9 + -4y) + -3y -24 + 5y = (9 * -4 + -4y * -4) + -3y -24 + 5y = (-36 + 16y) + -3y Combine like terms: 16y + -3y = 13y -24 + 5y = -36 + 13y Solving -24 + 5y = -36 + 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. -24 + 5y + -13y = -36 + 13y + -13y Combine like terms: 5y + -13y = -8y -24 + -8y = -36 + 13y + -13y Combine like terms: 13y + -13y = 0 -24 + -8y = -36 + 0 -24 + -8y = -36 Add '24' to each side of the equation. -24 + 24 + -8y = -36 + 24 Combine like terms: -24 + 24 = 0 0 + -8y = -36 + 24 -8y = -36 + 24 Combine like terms: -36 + 24 = -12 -8y = -12 Divide each side by '-8'. y = 1.5 Simplifying y = 1.5
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