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Simplifying 4(2y + -3) + 2(7y + 1) + 4 = 3(5y + -1) + 4 Reorder the terms: 4(-3 + 2y) + 2(7y + 1) + 4 = 3(5y + -1) + 4 (-3 * 4 + 2y * 4) + 2(7y + 1) + 4 = 3(5y + -1) + 4 (-12 + 8y) + 2(7y + 1) + 4 = 3(5y + -1) + 4 Reorder the terms: -12 + 8y + 2(1 + 7y) + 4 = 3(5y + -1) + 4 -12 + 8y + (1 * 2 + 7y * 2) + 4 = 3(5y + -1) + 4 -12 + 8y + (2 + 14y) + 4 = 3(5y + -1) + 4 Reorder the terms: -12 + 2 + 4 + 8y + 14y = 3(5y + -1) + 4 Combine like terms: -12 + 2 = -10 -10 + 4 + 8y + 14y = 3(5y + -1) + 4 Combine like terms: -10 + 4 = -6 -6 + 8y + 14y = 3(5y + -1) + 4 Combine like terms: 8y + 14y = 22y -6 + 22y = 3(5y + -1) + 4 Reorder the terms: -6 + 22y = 3(-1 + 5y) + 4 -6 + 22y = (-1 * 3 + 5y * 3) + 4 -6 + 22y = (-3 + 15y) + 4 Reorder the terms: -6 + 22y = -3 + 4 + 15y Combine like terms: -3 + 4 = 1 -6 + 22y = 1 + 15y Solving -6 + 22y = 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. -6 + 22y + -15y = 1 + 15y + -15y Combine like terms: 22y + -15y = 7y -6 + 7y = 1 + 15y + -15y Combine like terms: 15y + -15y = 0 -6 + 7y = 1 + 0 -6 + 7y = 1 Add '6' to each side of the equation. -6 + 6 + 7y = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 7y = 1 + 6 7y = 1 + 6 Combine like terms: 1 + 6 = 7 7y = 7 Divide each side by '7'. y = 1 Simplifying y = 1
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