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