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Simplifying 4(y + -5) + 2 = y + 3 Reorder the terms: 4(-5 + y) + 2 = y + 3 (-5 * 4 + y * 4) + 2 = y + 3 (-20 + 4y) + 2 = y + 3 Reorder the terms: -20 + 2 + 4y = y + 3 Combine like terms: -20 + 2 = -18 -18 + 4y = y + 3 Reorder the terms: -18 + 4y = 3 + y Solving -18 + 4y = 3 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -18 + 4y + -1y = 3 + y + -1y Combine like terms: 4y + -1y = 3y -18 + 3y = 3 + y + -1y Combine like terms: y + -1y = 0 -18 + 3y = 3 + 0 -18 + 3y = 3 Add '18' to each side of the equation. -18 + 18 + 3y = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 3y = 3 + 18 3y = 3 + 18 Combine like terms: 3 + 18 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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