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