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Simplifying 0.75(2y + -6) = y + -7 Reorder the terms: 0.75(-6 + 2y) = y + -7 (-6 * 0.75 + 2y * 0.75) = y + -7 (-4.5 + 1.5y) = y + -7 Reorder the terms: -4.5 + 1.5y = -7 + y Solving -4.5 + 1.5y = -7 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -4.5 + 1.5y + -1y = -7 + y + -1y Combine like terms: 1.5y + -1y = 0.5y -4.5 + 0.5y = -7 + y + -1y Combine like terms: y + -1y = 0 -4.5 + 0.5y = -7 + 0 -4.5 + 0.5y = -7 Add '4.5' to each side of the equation. -4.5 + 4.5 + 0.5y = -7 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 0.5y = -7 + 4.5 0.5y = -7 + 4.5 Combine like terms: -7 + 4.5 = -2.5 0.5y = -2.5 Divide each side by '0.5'. y = -5 Simplifying y = -5
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