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Simplifying 2 + 3y = 7(-1y + -6) + -4(2y + -4) Reorder the terms: 2 + 3y = 7(-6 + -1y) + -4(2y + -4) 2 + 3y = (-6 * 7 + -1y * 7) + -4(2y + -4) 2 + 3y = (-42 + -7y) + -4(2y + -4) Reorder the terms: 2 + 3y = -42 + -7y + -4(-4 + 2y) 2 + 3y = -42 + -7y + (-4 * -4 + 2y * -4) 2 + 3y = -42 + -7y + (16 + -8y) Reorder the terms: 2 + 3y = -42 + 16 + -7y + -8y Combine like terms: -42 + 16 = -26 2 + 3y = -26 + -7y + -8y Combine like terms: -7y + -8y = -15y 2 + 3y = -26 + -15y Solving 2 + 3y = -26 + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. 2 + 3y + 15y = -26 + -15y + 15y Combine like terms: 3y + 15y = 18y 2 + 18y = -26 + -15y + 15y Combine like terms: -15y + 15y = 0 2 + 18y = -26 + 0 2 + 18y = -26 Add '-2' to each side of the equation. 2 + -2 + 18y = -26 + -2 Combine like terms: 2 + -2 = 0 0 + 18y = -26 + -2 18y = -26 + -2 Combine like terms: -26 + -2 = -28 18y = -28 Divide each side by '18'. y = -1.555555556 Simplifying y = -1.555555556
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