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Simplifying 3(4 + -5y) + -2(7 + -4y) = 5y (4 * 3 + -5y * 3) + -2(7 + -4y) = 5y (12 + -15y) + -2(7 + -4y) = 5y 12 + -15y + (7 * -2 + -4y * -2) = 5y 12 + -15y + (-14 + 8y) = 5y Reorder the terms: 12 + -14 + -15y + 8y = 5y Combine like terms: 12 + -14 = -2 -2 + -15y + 8y = 5y Combine like terms: -15y + 8y = -7y -2 + -7y = 5y Solving -2 + -7y = 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. -2 + -7y + -5y = 5y + -5y Combine like terms: -7y + -5y = -12y -2 + -12y = 5y + -5y Combine like terms: 5y + -5y = 0 -2 + -12y = 0 Add '2' to each side of the equation. -2 + 2 + -12y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -12y = 0 + 2 -12y = 0 + 2 Combine like terms: 0 + 2 = 2 -12y = 2 Divide each side by '-12'. y = -0.1666666667 Simplifying y = -0.1666666667
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