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Simplifying 3(y + -5) + 6 = 8 + -1(y + 2) Reorder the terms: 3(-5 + y) + 6 = 8 + -1(y + 2) (-5 * 3 + y * 3) + 6 = 8 + -1(y + 2) (-15 + 3y) + 6 = 8 + -1(y + 2) Reorder the terms: -15 + 6 + 3y = 8 + -1(y + 2) Combine like terms: -15 + 6 = -9 -9 + 3y = 8 + -1(y + 2) Reorder the terms: -9 + 3y = 8 + -1(2 + y) -9 + 3y = 8 + (2 * -1 + y * -1) -9 + 3y = 8 + (-2 + -1y) Combine like terms: 8 + -2 = 6 -9 + 3y = 6 + -1y Solving -9 + 3y = 6 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -9 + 3y + y = 6 + -1y + y Combine like terms: 3y + y = 4y -9 + 4y = 6 + -1y + y Combine like terms: -1y + y = 0 -9 + 4y = 6 + 0 -9 + 4y = 6 Add '9' to each side of the equation. -9 + 9 + 4y = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 4y = 6 + 9 4y = 6 + 9 Combine like terms: 6 + 9 = 15 4y = 15 Divide each side by '4'. y = 3.75 Simplifying y = 3.75
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