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Simplifying -4(5y + -1) + 3y = -2(y + 1) Reorder the terms: -4(-1 + 5y) + 3y = -2(y + 1) (-1 * -4 + 5y * -4) + 3y = -2(y + 1) (4 + -20y) + 3y = -2(y + 1) Combine like terms: -20y + 3y = -17y 4 + -17y = -2(y + 1) Reorder the terms: 4 + -17y = -2(1 + y) 4 + -17y = (1 * -2 + y * -2) 4 + -17y = (-2 + -2y) Solving 4 + -17y = -2 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 4 + -17y + 2y = -2 + -2y + 2y Combine like terms: -17y + 2y = -15y 4 + -15y = -2 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + -15y = -2 + 0 4 + -15y = -2 Add '-4' to each side of the equation. 4 + -4 + -15y = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -15y = -2 + -4 -15y = -2 + -4 Combine like terms: -2 + -4 = -6 -15y = -6 Divide each side by '-15'. y = 0.4 Simplifying y = 0.4
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