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Simplifying 4y + -1(6y + 22) = 2 + -1(8y + -5) Reorder the terms: 4y + -1(22 + 6y) = 2 + -1(8y + -5) 4y + (22 * -1 + 6y * -1) = 2 + -1(8y + -5) 4y + (-22 + -6y) = 2 + -1(8y + -5) Reorder the terms: -22 + 4y + -6y = 2 + -1(8y + -5) Combine like terms: 4y + -6y = -2y -22 + -2y = 2 + -1(8y + -5) Reorder the terms: -22 + -2y = 2 + -1(-5 + 8y) -22 + -2y = 2 + (-5 * -1 + 8y * -1) -22 + -2y = 2 + (5 + -8y) Combine like terms: 2 + 5 = 7 -22 + -2y = 7 + -8y Solving -22 + -2y = 7 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -22 + -2y + 8y = 7 + -8y + 8y Combine like terms: -2y + 8y = 6y -22 + 6y = 7 + -8y + 8y Combine like terms: -8y + 8y = 0 -22 + 6y = 7 + 0 -22 + 6y = 7 Add '22' to each side of the equation. -22 + 22 + 6y = 7 + 22 Combine like terms: -22 + 22 = 0 0 + 6y = 7 + 22 6y = 7 + 22 Combine like terms: 7 + 22 = 29 6y = 29 Divide each side by '6'. y = 4.833333333 Simplifying y = 4.833333333
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