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Simplifying 3y + -3(2y + -5) = -5 + -4(-3 + -1y) Reorder the terms: 3y + -3(-5 + 2y) = -5 + -4(-3 + -1y) 3y + (-5 * -3 + 2y * -3) = -5 + -4(-3 + -1y) 3y + (15 + -6y) = -5 + -4(-3 + -1y) Reorder the terms: 15 + 3y + -6y = -5 + -4(-3 + -1y) Combine like terms: 3y + -6y = -3y 15 + -3y = -5 + -4(-3 + -1y) 15 + -3y = -5 + (-3 * -4 + -1y * -4) 15 + -3y = -5 + (12 + 4y) Combine like terms: -5 + 12 = 7 15 + -3y = 7 + 4y Solving 15 + -3y = 7 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 15 + -3y + -4y = 7 + 4y + -4y Combine like terms: -3y + -4y = -7y 15 + -7y = 7 + 4y + -4y Combine like terms: 4y + -4y = 0 15 + -7y = 7 + 0 15 + -7y = 7 Add '-15' to each side of the equation. 15 + -15 + -7y = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -7y = 7 + -15 -7y = 7 + -15 Combine like terms: 7 + -15 = -8 -7y = -8 Divide each side by '-7'. y = 1.142857143 Simplifying y = 1.142857143
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