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Simplifying -3(y + -5y) + 4 = -2(4y + -1y) + 3 + 17y Combine like terms: y + -5y = -4y -3(-4y) + 4 = -2(4y + -1y) + 3 + 17y Remove parenthesis around (-4y) -3 * -4y + 4 = -2(4y + -1y) + 3 + 17y Multiply -3 * -4 12y + 4 = -2(4y + -1y) + 3 + 17y Reorder the terms: 4 + 12y = -2(4y + -1y) + 3 + 17y Combine like terms: 4y + -1y = 3y 4 + 12y = -2(3y) + 3 + 17y Remove parenthesis around (3y) 4 + 12y = -2 * 3y + 3 + 17y Multiply -2 * 3 4 + 12y = -6y + 3 + 17y Reorder the terms: 4 + 12y = 3 + -6y + 17y Combine like terms: -6y + 17y = 11y 4 + 12y = 3 + 11y Solving 4 + 12y = 3 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 4 + 12y + -11y = 3 + 11y + -11y Combine like terms: 12y + -11y = 1y 4 + 1y = 3 + 11y + -11y Combine like terms: 11y + -11y = 0 4 + 1y = 3 + 0 4 + 1y = 3 Add '-4' to each side of the equation. 4 + -4 + 1y = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 3 + -4 1y = 3 + -4 Combine like terms: 3 + -4 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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