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Simplifying 2(2y + -3) + 2(7y + 1) + 4 = 3(5y + -1) + 4 Reorder the terms: 2(-3 + 2y) + 2(7y + 1) + 4 = 3(5y + -1) + 4 (-3 * 2 + 2y * 2) + 2(7y + 1) + 4 = 3(5y + -1) + 4 (-6 + 4y) + 2(7y + 1) + 4 = 3(5y + -1) + 4 Reorder the terms: -6 + 4y + 2(1 + 7y) + 4 = 3(5y + -1) + 4 -6 + 4y + (1 * 2 + 7y * 2) + 4 = 3(5y + -1) + 4 -6 + 4y + (2 + 14y) + 4 = 3(5y + -1) + 4 Reorder the terms: -6 + 2 + 4 + 4y + 14y = 3(5y + -1) + 4 Combine like terms: -6 + 2 = -4 -4 + 4 + 4y + 14y = 3(5y + -1) + 4 Combine like terms: -4 + 4 = 0 0 + 4y + 14y = 3(5y + -1) + 4 4y + 14y = 3(5y + -1) + 4 Combine like terms: 4y + 14y = 18y 18y = 3(5y + -1) + 4 Reorder the terms: 18y = 3(-1 + 5y) + 4 18y = (-1 * 3 + 5y * 3) + 4 18y = (-3 + 15y) + 4 Reorder the terms: 18y = -3 + 4 + 15y Combine like terms: -3 + 4 = 1 18y = 1 + 15y Solving 18y = 1 + 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. 18y + -15y = 1 + 15y + -15y Combine like terms: 18y + -15y = 3y 3y = 1 + 15y + -15y Combine like terms: 15y + -15y = 0 3y = 1 + 0 3y = 1 Divide each side by '3'. y = 0.3333333333 Simplifying y = 0.3333333333
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