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Simplifying 5 + 3(y + -4) = (y + 2) + -1y Reorder the terms: 5 + 3(-4 + y) = (y + 2) + -1y 5 + (-4 * 3 + y * 3) = (y + 2) + -1y 5 + (-12 + 3y) = (y + 2) + -1y Combine like terms: 5 + -12 = -7 -7 + 3y = (y + 2) + -1y Reorder the terms: -7 + 3y = (2 + y) + -1y Remove parenthesis around (2 + y) -7 + 3y = 2 + y + -1y Combine like terms: y + -1y = 0 -7 + 3y = 2 + 0 -7 + 3y = 2 Solving -7 + 3y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3y = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 3y = 2 + 7 3y = 2 + 7 Combine like terms: 2 + 7 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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