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Simplifying 5(y + 1) + 2 = 4(y + 2) + -10 Reorder the terms: 5(1 + y) + 2 = 4(y + 2) + -10 (1 * 5 + y * 5) + 2 = 4(y + 2) + -10 (5 + 5y) + 2 = 4(y + 2) + -10 Reorder the terms: 5 + 2 + 5y = 4(y + 2) + -10 Combine like terms: 5 + 2 = 7 7 + 5y = 4(y + 2) + -10 Reorder the terms: 7 + 5y = 4(2 + y) + -10 7 + 5y = (2 * 4 + y * 4) + -10 7 + 5y = (8 + 4y) + -10 Reorder the terms: 7 + 5y = 8 + -10 + 4y Combine like terms: 8 + -10 = -2 7 + 5y = -2 + 4y Solving 7 + 5y = -2 + 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. 7 + 5y + -4y = -2 + 4y + -4y Combine like terms: 5y + -4y = 1y 7 + 1y = -2 + 4y + -4y Combine like terms: 4y + -4y = 0 7 + 1y = -2 + 0 7 + 1y = -2 Add '-7' to each side of the equation. 7 + -7 + 1y = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = -2 + -7 1y = -2 + -7 Combine like terms: -2 + -7 = -9 1y = -9 Divide each side by '1'. y = -9 Simplifying y = -9
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