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Simplifying 7 + -2(3 + -1y) = 4(y + 1) 7 + (3 * -2 + -1y * -2) = 4(y + 1) 7 + (-6 + 2y) = 4(y + 1) Combine like terms: 7 + -6 = 1 1 + 2y = 4(y + 1) Reorder the terms: 1 + 2y = 4(1 + y) 1 + 2y = (1 * 4 + y * 4) 1 + 2y = (4 + 4y) Solving 1 + 2y = 4 + 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. 1 + 2y + -4y = 4 + 4y + -4y Combine like terms: 2y + -4y = -2y 1 + -2y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + -2y = 4 + 0 1 + -2y = 4 Add '-1' to each side of the equation. 1 + -1 + -2y = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 4 + -1 -2y = 4 + -1 Combine like terms: 4 + -1 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5
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