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Simplifying 7 + 2(2y + -2) = -3(3y + -6) + 4y Reorder the terms: 7 + 2(-2 + 2y) = -3(3y + -6) + 4y 7 + (-2 * 2 + 2y * 2) = -3(3y + -6) + 4y 7 + (-4 + 4y) = -3(3y + -6) + 4y Combine like terms: 7 + -4 = 3 3 + 4y = -3(3y + -6) + 4y Reorder the terms: 3 + 4y = -3(-6 + 3y) + 4y 3 + 4y = (-6 * -3 + 3y * -3) + 4y 3 + 4y = (18 + -9y) + 4y Combine like terms: -9y + 4y = -5y 3 + 4y = 18 + -5y Solving 3 + 4y = 18 + -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 + 4y + 5y = 18 + -5y + 5y Combine like terms: 4y + 5y = 9y 3 + 9y = 18 + -5y + 5y Combine like terms: -5y + 5y = 0 3 + 9y = 18 + 0 3 + 9y = 18 Add '-3' to each side of the equation. 3 + -3 + 9y = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 9y = 18 + -3 9y = 18 + -3 Combine like terms: 18 + -3 = 15 9y = 15 Divide each side by '9'. y = 1.666666667 Simplifying y = 1.666666667
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