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Simplifying 5 + 3(y + -4) = 5(7 + 2) + -1y Reorder the terms: 5 + 3(-4 + y) = 5(7 + 2) + -1y 5 + (-4 * 3 + y * 3) = 5(7 + 2) + -1y 5 + (-12 + 3y) = 5(7 + 2) + -1y Combine like terms: 5 + -12 = -7 -7 + 3y = 5(7 + 2) + -1y Combine like terms: 7 + 2 = 9 -7 + 3y = 5(9) + -1y Multiply 5 * 9 -7 + 3y = 45 + -1y Solving -7 + 3y = 45 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -7 + 3y + y = 45 + -1y + y Combine like terms: 3y + y = 4y -7 + 4y = 45 + -1y + y Combine like terms: -1y + y = 0 -7 + 4y = 45 + 0 -7 + 4y = 45 Add '7' to each side of the equation. -7 + 7 + 4y = 45 + 7 Combine like terms: -7 + 7 = 0 0 + 4y = 45 + 7 4y = 45 + 7 Combine like terms: 45 + 7 = 52 4y = 52 Divide each side by '4'. y = 13 Simplifying y = 13
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