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Simplifying -4(y + -5y) + 5 = -4(2y + -1y) + 3 + 19y Combine like terms: y + -5y = -4y -4(-4y) + 5 = -4(2y + -1y) + 3 + 19y Remove parenthesis around (-4y) -4 * -4y + 5 = -4(2y + -1y) + 3 + 19y Multiply -4 * -4 16y + 5 = -4(2y + -1y) + 3 + 19y Reorder the terms: 5 + 16y = -4(2y + -1y) + 3 + 19y Combine like terms: 2y + -1y = 1y 5 + 16y = -4(1y) + 3 + 19y Remove parenthesis around (1y) 5 + 16y = -4 * 1y + 3 + 19y Multiply -4 * 1 5 + 16y = -4y + 3 + 19y Reorder the terms: 5 + 16y = 3 + -4y + 19y Combine like terms: -4y + 19y = 15y 5 + 16y = 3 + 15y Solving 5 + 16y = 3 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 5 + 16y + -15y = 3 + 15y + -15y Combine like terms: 16y + -15y = 1y 5 + 1y = 3 + 15y + -15y Combine like terms: 15y + -15y = 0 5 + 1y = 3 + 0 5 + 1y = 3 Add '-5' to each side of the equation. 5 + -5 + 1y = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 3 + -5 1y = 3 + -5 Combine like terms: 3 + -5 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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