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Simplifying 3(y + -5) + 8 = -1(y + -6) + 2 Reorder the terms: 3(-5 + y) + 8 = -1(y + -6) + 2 (-5 * 3 + y * 3) + 8 = -1(y + -6) + 2 (-15 + 3y) + 8 = -1(y + -6) + 2 Reorder the terms: -15 + 8 + 3y = -1(y + -6) + 2 Combine like terms: -15 + 8 = -7 -7 + 3y = -1(y + -6) + 2 Reorder the terms: -7 + 3y = -1(-6 + y) + 2 -7 + 3y = (-6 * -1 + y * -1) + 2 -7 + 3y = (6 + -1y) + 2 Reorder the terms: -7 + 3y = 6 + 2 + -1y Combine like terms: 6 + 2 = 8 -7 + 3y = 8 + -1y Solving -7 + 3y = 8 + -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. -7 + 3y + y = 8 + -1y + y Combine like terms: 3y + y = 4y -7 + 4y = 8 + -1y + y Combine like terms: -1y + y = 0 -7 + 4y = 8 + 0 -7 + 4y = 8 Add '7' to each side of the equation. -7 + 7 + 4y = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 4y = 8 + 7 4y = 8 + 7 Combine like terms: 8 + 7 = 15 4y = 15 Divide each side by '4'. y = 3.75 Simplifying y = 3.75
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