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Simplifying 4(2y + 1) + -5 = -10(y + -5) Reorder the terms: 4(1 + 2y) + -5 = -10(y + -5) (1 * 4 + 2y * 4) + -5 = -10(y + -5) (4 + 8y) + -5 = -10(y + -5) Reorder the terms: 4 + -5 + 8y = -10(y + -5) Combine like terms: 4 + -5 = -1 -1 + 8y = -10(y + -5) Reorder the terms: -1 + 8y = -10(-5 + y) -1 + 8y = (-5 * -10 + y * -10) -1 + 8y = (50 + -10y) Solving -1 + 8y = 50 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -1 + 8y + 10y = 50 + -10y + 10y Combine like terms: 8y + 10y = 18y -1 + 18y = 50 + -10y + 10y Combine like terms: -10y + 10y = 0 -1 + 18y = 50 + 0 -1 + 18y = 50 Add '1' to each side of the equation. -1 + 1 + 18y = 50 + 1 Combine like terms: -1 + 1 = 0 0 + 18y = 50 + 1 18y = 50 + 1 Combine like terms: 50 + 1 = 51 18y = 51 Divide each side by '18'. y = 2.833333333 Simplifying y = 2.833333333
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