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Simplifying 1.5(7y + -4) + y = 3y + -1.5(6 + -5y) Reorder the terms: 1.5(-4 + 7y) + y = 3y + -1.5(6 + -5y) (-4 * 1.5 + 7y * 1.5) + y = 3y + -1.5(6 + -5y) (-6 + 10.5y) + y = 3y + -1.5(6 + -5y) Combine like terms: 10.5y + y = 11.5y -6 + 11.5y = 3y + -1.5(6 + -5y) -6 + 11.5y = 3y + (6 * -1.5 + -5y * -1.5) -6 + 11.5y = 3y + (-9 + 7.5y) Reorder the terms: -6 + 11.5y = -9 + 3y + 7.5y Combine like terms: 3y + 7.5y = 10.5y -6 + 11.5y = -9 + 10.5y Solving -6 + 11.5y = -9 + 10.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10.5y' to each side of the equation. -6 + 11.5y + -10.5y = -9 + 10.5y + -10.5y Combine like terms: 11.5y + -10.5y = 1y -6 + 1y = -9 + 10.5y + -10.5y Combine like terms: 10.5y + -10.5y = 0.0 -6 + 1y = -9 + 0.0 -6 + 1y = -9 Add '6' to each side of the equation. -6 + 6 + 1y = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = -9 + 6 1y = -9 + 6 Combine like terms: -9 + 6 = -3 1y = -3 Divide each side by '1'. y = -3 Simplifying y = -3
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