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Simplifying 1(y + 4) = 2(y + -8) + -10 Reorder the terms: 1(4 + y) = 2(y + -8) + -10 (4 * 1 + y * 1) = 2(y + -8) + -10 (4 + 1y) = 2(y + -8) + -10 Reorder the terms: 4 + 1y = 2(-8 + y) + -10 4 + 1y = (-8 * 2 + y * 2) + -10 4 + 1y = (-16 + 2y) + -10 Reorder the terms: 4 + 1y = -16 + -10 + 2y Combine like terms: -16 + -10 = -26 4 + 1y = -26 + 2y Solving 4 + 1y = -26 + 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. 4 + 1y + -2y = -26 + 2y + -2y Combine like terms: 1y + -2y = -1y 4 + -1y = -26 + 2y + -2y Combine like terms: 2y + -2y = 0 4 + -1y = -26 + 0 4 + -1y = -26 Add '-4' to each side of the equation. 4 + -4 + -1y = -26 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = -26 + -4 -1y = -26 + -4 Combine like terms: -26 + -4 = -30 -1y = -30 Divide each side by '-1'. y = 30 Simplifying y = 30
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