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Simplifying 4y + 6 + -3(7y + -1) = 2(y + 5) Reorder the terms: 4y + 6 + -3(-1 + 7y) = 2(y + 5) 4y + 6 + (-1 * -3 + 7y * -3) = 2(y + 5) 4y + 6 + (3 + -21y) = 2(y + 5) Reorder the terms: 6 + 3 + 4y + -21y = 2(y + 5) Combine like terms: 6 + 3 = 9 9 + 4y + -21y = 2(y + 5) Combine like terms: 4y + -21y = -17y 9 + -17y = 2(y + 5) Reorder the terms: 9 + -17y = 2(5 + y) 9 + -17y = (5 * 2 + y * 2) 9 + -17y = (10 + 2y) Solving 9 + -17y = 10 + 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. 9 + -17y + -2y = 10 + 2y + -2y Combine like terms: -17y + -2y = -19y 9 + -19y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 9 + -19y = 10 + 0 9 + -19y = 10 Add '-9' to each side of the equation. 9 + -9 + -19y = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -19y = 10 + -9 -19y = 10 + -9 Combine like terms: 10 + -9 = 1 -19y = 1 Divide each side by '-19'. y = -0.05263157895 Simplifying y = -0.05263157895
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