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Simplifying 4(2y + -1) = 10(y + 5) Reorder the terms: 4(-1 + 2y) = 10(y + 5) (-1 * 4 + 2y * 4) = 10(y + 5) (-4 + 8y) = 10(y + 5) Reorder the terms: -4 + 8y = 10(5 + y) -4 + 8y = (5 * 10 + y * 10) -4 + 8y = (50 + 10y) Solving -4 + 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. -4 + 8y + -10y = 50 + 10y + -10y Combine like terms: 8y + -10y = -2y -4 + -2y = 50 + 10y + -10y Combine like terms: 10y + -10y = 0 -4 + -2y = 50 + 0 -4 + -2y = 50 Add '4' to each side of the equation. -4 + 4 + -2y = 50 + 4 Combine like terms: -4 + 4 = 0 0 + -2y = 50 + 4 -2y = 50 + 4 Combine like terms: 50 + 4 = 54 -2y = 54 Divide each side by '-2'. y = -27 Simplifying y = -27
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