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Simplifying 10 + -4(y + 7) = 2(1 + -1y) Reorder the terms: 10 + -4(7 + y) = 2(1 + -1y) 10 + (7 * -4 + y * -4) = 2(1 + -1y) 10 + (-28 + -4y) = 2(1 + -1y) Combine like terms: 10 + -28 = -18 -18 + -4y = 2(1 + -1y) -18 + -4y = (1 * 2 + -1y * 2) -18 + -4y = (2 + -2y) Solving -18 + -4y = 2 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -18 + -4y + 2y = 2 + -2y + 2y Combine like terms: -4y + 2y = -2y -18 + -2y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 -18 + -2y = 2 + 0 -18 + -2y = 2 Add '18' to each side of the equation. -18 + 18 + -2y = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -2y = 2 + 18 -2y = 2 + 18 Combine like terms: 2 + 18 = 20 -2y = 20 Divide each side by '-2'. y = -10 Simplifying y = -10
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