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Simplifying 2(y + -1) + 4 = 5(2 + -3y) Reorder the terms: 2(-1 + y) + 4 = 5(2 + -3y) (-1 * 2 + y * 2) + 4 = 5(2 + -3y) (-2 + 2y) + 4 = 5(2 + -3y) Reorder the terms: -2 + 4 + 2y = 5(2 + -3y) Combine like terms: -2 + 4 = 2 2 + 2y = 5(2 + -3y) 2 + 2y = (2 * 5 + -3y * 5) 2 + 2y = (10 + -15y) Solving 2 + 2y = 10 + -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. 2 + 2y + 15y = 10 + -15y + 15y Combine like terms: 2y + 15y = 17y 2 + 17y = 10 + -15y + 15y Combine like terms: -15y + 15y = 0 2 + 17y = 10 + 0 2 + 17y = 10 Add '-2' to each side of the equation. 2 + -2 + 17y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 17y = 10 + -2 17y = 10 + -2 Combine like terms: 10 + -2 = 8 17y = 8 Divide each side by '17'. y = 0.4705882353 Simplifying y = 0.4705882353
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