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Simplifying 5y + -1(2y + 3) = 4(y + -4) Reorder the terms: 5y + -1(3 + 2y) = 4(y + -4) 5y + (3 * -1 + 2y * -1) = 4(y + -4) 5y + (-3 + -2y) = 4(y + -4) Reorder the terms: -3 + 5y + -2y = 4(y + -4) Combine like terms: 5y + -2y = 3y -3 + 3y = 4(y + -4) Reorder the terms: -3 + 3y = 4(-4 + y) -3 + 3y = (-4 * 4 + y * 4) -3 + 3y = (-16 + 4y) Solving -3 + 3y = -16 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -3 + 3y + -4y = -16 + 4y + -4y Combine like terms: 3y + -4y = -1y -3 + -1y = -16 + 4y + -4y Combine like terms: 4y + -4y = 0 -3 + -1y = -16 + 0 -3 + -1y = -16 Add '3' to each side of the equation. -3 + 3 + -1y = -16 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = -16 + 3 -1y = -16 + 3 Combine like terms: -16 + 3 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13
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