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Simplifying -4(y + -5y) + 3 = -2(2y + -1y) + 7 + 17y Combine like terms: y + -5y = -4y -4(-4y) + 3 = -2(2y + -1y) + 7 + 17y Remove parenthesis around (-4y) -4 * -4y + 3 = -2(2y + -1y) + 7 + 17y Multiply -4 * -4 16y + 3 = -2(2y + -1y) + 7 + 17y Reorder the terms: 3 + 16y = -2(2y + -1y) + 7 + 17y Combine like terms: 2y + -1y = 1y 3 + 16y = -2(1y) + 7 + 17y Remove parenthesis around (1y) 3 + 16y = -2 * 1y + 7 + 17y Multiply -2 * 1 3 + 16y = -2y + 7 + 17y Reorder the terms: 3 + 16y = 7 + -2y + 17y Combine like terms: -2y + 17y = 15y 3 + 16y = 7 + 15y Solving 3 + 16y = 7 + 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. 3 + 16y + -15y = 7 + 15y + -15y Combine like terms: 16y + -15y = 1y 3 + 1y = 7 + 15y + -15y Combine like terms: 15y + -15y = 0 3 + 1y = 7 + 0 3 + 1y = 7 Add '-3' to each side of the equation. 3 + -3 + 1y = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 7 + -3 1y = 7 + -3 Combine like terms: 7 + -3 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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