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Simplifying 4(-5y + 1) = -3(y + 6) Reorder the terms: 4(1 + -5y) = -3(y + 6) (1 * 4 + -5y * 4) = -3(y + 6) (4 + -20y) = -3(y + 6) Reorder the terms: 4 + -20y = -3(6 + y) 4 + -20y = (6 * -3 + y * -3) 4 + -20y = (-18 + -3y) Solving 4 + -20y = -18 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 4 + -20y + 3y = -18 + -3y + 3y Combine like terms: -20y + 3y = -17y 4 + -17y = -18 + -3y + 3y Combine like terms: -3y + 3y = 0 4 + -17y = -18 + 0 4 + -17y = -18 Add '-4' to each side of the equation. 4 + -4 + -17y = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -17y = -18 + -4 -17y = -18 + -4 Combine like terms: -18 + -4 = -22 -17y = -22 Divide each side by '-17'. y = 1.294117647 Simplifying y = 1.294117647
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