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Simplifying 3.5y + -12 = 1.5(y + -2) Reorder the terms: -12 + 3.5y = 1.5(y + -2) Reorder the terms: -12 + 3.5y = 1.5(-2 + y) -12 + 3.5y = (-2 * 1.5 + y * 1.5) -12 + 3.5y = (-3 + 1.5y) Solving -12 + 3.5y = -3 + 1.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5y' to each side of the equation. -12 + 3.5y + -1.5y = -3 + 1.5y + -1.5y Combine like terms: 3.5y + -1.5y = 2y -12 + 2y = -3 + 1.5y + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 -12 + 2y = -3 + 0.0 -12 + 2y = -3 Add '12' to each side of the equation. -12 + 12 + 2y = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = -3 + 12 2y = -3 + 12 Combine like terms: -3 + 12 = 9 2y = 9 Divide each side by '2'. y = 4.5 Simplifying y = 4.5
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