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Simplifying -3 + -7y = 10(-1.5 + 0.5y) -3 + -7y = (-1.5 * 10 + 0.5y * 10) -3 + -7y = (-15 + 5y) Solving -3 + -7y = -15 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -3 + -7y + -5y = -15 + 5y + -5y Combine like terms: -7y + -5y = -12y -3 + -12y = -15 + 5y + -5y Combine like terms: 5y + -5y = 0 -3 + -12y = -15 + 0 -3 + -12y = -15 Add '3' to each side of the equation. -3 + 3 + -12y = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -12y = -15 + 3 -12y = -15 + 3 Combine like terms: -15 + 3 = -12 -12y = -12 Divide each side by '-12'. y = 1 Simplifying y = 1
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