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Simplifying 4(y + -2) + 1 = 3(y + -8) Reorder the terms: 4(-2 + y) + 1 = 3(y + -8) (-2 * 4 + y * 4) + 1 = 3(y + -8) (-8 + 4y) + 1 = 3(y + -8) Reorder the terms: -8 + 1 + 4y = 3(y + -8) Combine like terms: -8 + 1 = -7 -7 + 4y = 3(y + -8) Reorder the terms: -7 + 4y = 3(-8 + y) -7 + 4y = (-8 * 3 + y * 3) -7 + 4y = (-24 + 3y) Solving -7 + 4y = -24 + 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. -7 + 4y + -3y = -24 + 3y + -3y Combine like terms: 4y + -3y = 1y -7 + 1y = -24 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + 1y = -24 + 0 -7 + 1y = -24 Add '7' to each side of the equation. -7 + 7 + 1y = -24 + 7 Combine like terms: -7 + 7 = 0 0 + 1y = -24 + 7 1y = -24 + 7 Combine like terms: -24 + 7 = -17 1y = -17 Divide each side by '1'. y = -17 Simplifying y = -17
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