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Simplifying 5y + -2(3y + -4) + 5 = -3y + 1 Reorder the terms: 5y + -2(-4 + 3y) + 5 = -3y + 1 5y + (-4 * -2 + 3y * -2) + 5 = -3y + 1 5y + (8 + -6y) + 5 = -3y + 1 Reorder the terms: 8 + 5 + 5y + -6y = -3y + 1 Combine like terms: 8 + 5 = 13 13 + 5y + -6y = -3y + 1 Combine like terms: 5y + -6y = -1y 13 + -1y = -3y + 1 Reorder the terms: 13 + -1y = 1 + -3y Solving 13 + -1y = 1 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 13 + -1y + 3y = 1 + -3y + 3y Combine like terms: -1y + 3y = 2y 13 + 2y = 1 + -3y + 3y Combine like terms: -3y + 3y = 0 13 + 2y = 1 + 0 13 + 2y = 1 Add '-13' to each side of the equation. 13 + -13 + 2y = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 2y = 1 + -13 2y = 1 + -13 Combine like terms: 1 + -13 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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