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Simplifying 6y + 2(y + -8) = 4(y + 1) + -1 Reorder the terms: 6y + 2(-8 + y) = 4(y + 1) + -1 6y + (-8 * 2 + y * 2) = 4(y + 1) + -1 6y + (-16 + 2y) = 4(y + 1) + -1 Reorder the terms: -16 + 6y + 2y = 4(y + 1) + -1 Combine like terms: 6y + 2y = 8y -16 + 8y = 4(y + 1) + -1 Reorder the terms: -16 + 8y = 4(1 + y) + -1 -16 + 8y = (1 * 4 + y * 4) + -1 -16 + 8y = (4 + 4y) + -1 Reorder the terms: -16 + 8y = 4 + -1 + 4y Combine like terms: 4 + -1 = 3 -16 + 8y = 3 + 4y Solving -16 + 8y = 3 + 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. -16 + 8y + -4y = 3 + 4y + -4y Combine like terms: 8y + -4y = 4y -16 + 4y = 3 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + 4y = 3 + 0 -16 + 4y = 3 Add '16' to each side of the equation. -16 + 16 + 4y = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 4y = 3 + 16 4y = 3 + 16 Combine like terms: 3 + 16 = 19 4y = 19 Divide each side by '4'. y = 4.75 Simplifying y = 4.75
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