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Simplifying 4(2y + -1) = -10(y + -3) Reorder the terms: 4(-1 + 2y) = -10(y + -3) (-1 * 4 + 2y * 4) = -10(y + -3) (-4 + 8y) = -10(y + -3) Reorder the terms: -4 + 8y = -10(-3 + y) -4 + 8y = (-3 * -10 + y * -10) -4 + 8y = (30 + -10y) Solving -4 + 8y = 30 + -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. -4 + 8y + 10y = 30 + -10y + 10y Combine like terms: 8y + 10y = 18y -4 + 18y = 30 + -10y + 10y Combine like terms: -10y + 10y = 0 -4 + 18y = 30 + 0 -4 + 18y = 30 Add '4' to each side of the equation. -4 + 4 + 18y = 30 + 4 Combine like terms: -4 + 4 = 0 0 + 18y = 30 + 4 18y = 30 + 4 Combine like terms: 30 + 4 = 34 18y = 34 Divide each side by '18'. y = 1.888888889 Simplifying y = 1.888888889
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