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Simplifying 4(y + -2) = 3(y + 5) Reorder the terms: 4(-2 + y) = 3(y + 5) (-2 * 4 + y * 4) = 3(y + 5) (-8 + 4y) = 3(y + 5) Reorder the terms: -8 + 4y = 3(5 + y) -8 + 4y = (5 * 3 + y * 3) -8 + 4y = (15 + 3y) Solving -8 + 4y = 15 + 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. -8 + 4y + -3y = 15 + 3y + -3y Combine like terms: 4y + -3y = 1y -8 + 1y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 1y = 15 + 0 -8 + 1y = 15 Add '8' to each side of the equation. -8 + 8 + 1y = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 1y = 15 + 8 1y = 15 + 8 Combine like terms: 15 + 8 = 23 1y = 23 Divide each side by '1'. y = 23 Simplifying y = 23
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