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Simplifying 13 + -2y + 3(y + -1) = 4(-2 + -1y) Reorder the terms: 13 + -2y + 3(-1 + y) = 4(-2 + -1y) 13 + -2y + (-1 * 3 + y * 3) = 4(-2 + -1y) 13 + -2y + (-3 + 3y) = 4(-2 + -1y) Reorder the terms: 13 + -3 + -2y + 3y = 4(-2 + -1y) Combine like terms: 13 + -3 = 10 10 + -2y + 3y = 4(-2 + -1y) Combine like terms: -2y + 3y = 1y 10 + 1y = 4(-2 + -1y) 10 + 1y = (-2 * 4 + -1y * 4) 10 + 1y = (-8 + -4y) Solving 10 + 1y = -8 + -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. 10 + 1y + 4y = -8 + -4y + 4y Combine like terms: 1y + 4y = 5y 10 + 5y = -8 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + 5y = -8 + 0 10 + 5y = -8 Add '-10' to each side of the equation. 10 + -10 + 5y = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 5y = -8 + -10 5y = -8 + -10 Combine like terms: -8 + -10 = -18 5y = -18 Divide each side by '5'. y = -3.6 Simplifying y = -3.6
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