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Simplifying 2(y + 5) = -10(y + -1) + -84 Reorder the terms: 2(5 + y) = -10(y + -1) + -84 (5 * 2 + y * 2) = -10(y + -1) + -84 (10 + 2y) = -10(y + -1) + -84 Reorder the terms: 10 + 2y = -10(-1 + y) + -84 10 + 2y = (-1 * -10 + y * -10) + -84 10 + 2y = (10 + -10y) + -84 Reorder the terms: 10 + 2y = 10 + -84 + -10y Combine like terms: 10 + -84 = -74 10 + 2y = -74 + -10y Solving 10 + 2y = -74 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 10 + 2y + 10y = -74 + -10y + 10y Combine like terms: 2y + 10y = 12y 10 + 12y = -74 + -10y + 10y Combine like terms: -10y + 10y = 0 10 + 12y = -74 + 0 10 + 12y = -74 Add '-10' to each side of the equation. 10 + -10 + 12y = -74 + -10 Combine like terms: 10 + -10 = 0 0 + 12y = -74 + -10 12y = -74 + -10 Combine like terms: -74 + -10 = -84 12y = -84 Divide each side by '12'. y = -7 Simplifying y = -7
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