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Simplifying 2(5y + 4) + -13 = 4(6y + 1) + -22 Reorder the terms: 2(4 + 5y) + -13 = 4(6y + 1) + -22 (4 * 2 + 5y * 2) + -13 = 4(6y + 1) + -22 (8 + 10y) + -13 = 4(6y + 1) + -22 Reorder the terms: 8 + -13 + 10y = 4(6y + 1) + -22 Combine like terms: 8 + -13 = -5 -5 + 10y = 4(6y + 1) + -22 Reorder the terms: -5 + 10y = 4(1 + 6y) + -22 -5 + 10y = (1 * 4 + 6y * 4) + -22 -5 + 10y = (4 + 24y) + -22 Reorder the terms: -5 + 10y = 4 + -22 + 24y Combine like terms: 4 + -22 = -18 -5 + 10y = -18 + 24y Solving -5 + 10y = -18 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -5 + 10y + -24y = -18 + 24y + -24y Combine like terms: 10y + -24y = -14y -5 + -14y = -18 + 24y + -24y Combine like terms: 24y + -24y = 0 -5 + -14y = -18 + 0 -5 + -14y = -18 Add '5' to each side of the equation. -5 + 5 + -14y = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -14y = -18 + 5 -14y = -18 + 5 Combine like terms: -18 + 5 = -13 -14y = -13 Divide each side by '-14'. y = 0.9285714286 Simplifying y = 0.9285714286
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