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Simplifying 8(y + -2) + 6 = 2(y + 1) Reorder the terms: 8(-2 + y) + 6 = 2(y + 1) (-2 * 8 + y * 8) + 6 = 2(y + 1) (-16 + 8y) + 6 = 2(y + 1) Reorder the terms: -16 + 6 + 8y = 2(y + 1) Combine like terms: -16 + 6 = -10 -10 + 8y = 2(y + 1) Reorder the terms: -10 + 8y = 2(1 + y) -10 + 8y = (1 * 2 + y * 2) -10 + 8y = (2 + 2y) Solving -10 + 8y = 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. -10 + 8y + -2y = 2 + 2y + -2y Combine like terms: 8y + -2y = 6y -10 + 6y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -10 + 6y = 2 + 0 -10 + 6y = 2 Add '10' to each side of the equation. -10 + 10 + 6y = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 6y = 2 + 10 6y = 2 + 10 Combine like terms: 2 + 10 = 12 6y = 12 Divide each side by '6'. y = 2 Simplifying y = 2
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