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Simplifying 5 + 3(y + -4) = 5(y + 2) Reorder the terms: 5 + 3(-4 + y) = 5(y + 2) 5 + (-4 * 3 + y * 3) = 5(y + 2) 5 + (-12 + 3y) = 5(y + 2) Combine like terms: 5 + -12 = -7 -7 + 3y = 5(y + 2) Reorder the terms: -7 + 3y = 5(2 + y) -7 + 3y = (2 * 5 + y * 5) -7 + 3y = (10 + 5y) Solving -7 + 3y = 10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -7 + 3y + -5y = 10 + 5y + -5y Combine like terms: 3y + -5y = -2y -7 + -2y = 10 + 5y + -5y Combine like terms: 5y + -5y = 0 -7 + -2y = 10 + 0 -7 + -2y = 10 Add '7' to each side of the equation. -7 + 7 + -2y = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -2y = 10 + 7 -2y = 10 + 7 Combine like terms: 10 + 7 = 17 -2y = 17 Divide each side by '-2'. y = -8.5 Simplifying y = -8.5
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