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Simplifying (y + -4) * 3 = 1.5y + -6 Reorder the terms: (-4 + y) * 3 = 1.5y + -6 Reorder the terms for easier multiplication: 3(-4 + y) = 1.5y + -6 (-4 * 3 + y * 3) = 1.5y + -6 (-12 + 3y) = 1.5y + -6 Reorder the terms: -12 + 3y = -6 + 1.5y Solving -12 + 3y = -6 + 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 + 3y + -1.5y = -6 + 1.5y + -1.5y Combine like terms: 3y + -1.5y = 1.5y -12 + 1.5y = -6 + 1.5y + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 -12 + 1.5y = -6 + 0.0 -12 + 1.5y = -6 Add '12' to each side of the equation. -12 + 12 + 1.5y = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 1.5y = -6 + 12 1.5y = -6 + 12 Combine like terms: -6 + 12 = 6 1.5y = 6 Divide each side by '1.5'. y = 4 Simplifying y = 4
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