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Simplifying 4(y + 3) + -1y = 3(2y + -3) + -7y + 1 Reorder the terms: 4(3 + y) + -1y = 3(2y + -3) + -7y + 1 (3 * 4 + y * 4) + -1y = 3(2y + -3) + -7y + 1 (12 + 4y) + -1y = 3(2y + -3) + -7y + 1 Combine like terms: 4y + -1y = 3y 12 + 3y = 3(2y + -3) + -7y + 1 Reorder the terms: 12 + 3y = 3(-3 + 2y) + -7y + 1 12 + 3y = (-3 * 3 + 2y * 3) + -7y + 1 12 + 3y = (-9 + 6y) + -7y + 1 Reorder the terms: 12 + 3y = -9 + 1 + 6y + -7y Combine like terms: -9 + 1 = -8 12 + 3y = -8 + 6y + -7y Combine like terms: 6y + -7y = -1y 12 + 3y = -8 + -1y Solving 12 + 3y = -8 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 12 + 3y + y = -8 + -1y + y Combine like terms: 3y + y = 4y 12 + 4y = -8 + -1y + y Combine like terms: -1y + y = 0 12 + 4y = -8 + 0 12 + 4y = -8 Add '-12' to each side of the equation. 12 + -12 + 4y = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = -8 + -12 4y = -8 + -12 Combine like terms: -8 + -12 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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