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Simplifying 8 + -2y = 4(-1y + 6) + -7(4y + -6) Reorder the terms: 8 + -2y = 4(6 + -1y) + -7(4y + -6) 8 + -2y = (6 * 4 + -1y * 4) + -7(4y + -6) 8 + -2y = (24 + -4y) + -7(4y + -6) Reorder the terms: 8 + -2y = 24 + -4y + -7(-6 + 4y) 8 + -2y = 24 + -4y + (-6 * -7 + 4y * -7) 8 + -2y = 24 + -4y + (42 + -28y) Reorder the terms: 8 + -2y = 24 + 42 + -4y + -28y Combine like terms: 24 + 42 = 66 8 + -2y = 66 + -4y + -28y Combine like terms: -4y + -28y = -32y 8 + -2y = 66 + -32y Solving 8 + -2y = 66 + -32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32y' to each side of the equation. 8 + -2y + 32y = 66 + -32y + 32y Combine like terms: -2y + 32y = 30y 8 + 30y = 66 + -32y + 32y Combine like terms: -32y + 32y = 0 8 + 30y = 66 + 0 8 + 30y = 66 Add '-8' to each side of the equation. 8 + -8 + 30y = 66 + -8 Combine like terms: 8 + -8 = 0 0 + 30y = 66 + -8 30y = 66 + -8 Combine like terms: 66 + -8 = 58 30y = 58 Divide each side by '30'. y = 1.933333333 Simplifying y = 1.933333333
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