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Simplifying 2(5y + -1) + 17 = 4(4y + 4) + 22 Reorder the terms: 2(-1 + 5y) + 17 = 4(4y + 4) + 22 (-1 * 2 + 5y * 2) + 17 = 4(4y + 4) + 22 (-2 + 10y) + 17 = 4(4y + 4) + 22 Reorder the terms: -2 + 17 + 10y = 4(4y + 4) + 22 Combine like terms: -2 + 17 = 15 15 + 10y = 4(4y + 4) + 22 Reorder the terms: 15 + 10y = 4(4 + 4y) + 22 15 + 10y = (4 * 4 + 4y * 4) + 22 15 + 10y = (16 + 16y) + 22 Reorder the terms: 15 + 10y = 16 + 22 + 16y Combine like terms: 16 + 22 = 38 15 + 10y = 38 + 16y Solving 15 + 10y = 38 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 15 + 10y + -16y = 38 + 16y + -16y Combine like terms: 10y + -16y = -6y 15 + -6y = 38 + 16y + -16y Combine like terms: 16y + -16y = 0 15 + -6y = 38 + 0 15 + -6y = 38 Add '-15' to each side of the equation. 15 + -15 + -6y = 38 + -15 Combine like terms: 15 + -15 = 0 0 + -6y = 38 + -15 -6y = 38 + -15 Combine like terms: 38 + -15 = 23 -6y = 23 Divide each side by '-6'. y = -3.833333333 Simplifying y = -3.833333333
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