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Simplifying 5 + 3[y + -4] = 5[y + 2] + -1y Reorder the terms: 5 + 3[-4 + y] = 5[y + 2] + -1y 5 + [-4 * 3 + y * 3] = 5[y + 2] + -1y 5 + [-12 + 3y] = 5[y + 2] + -1y Combine like terms: 5 + -12 = -7 -7 + 3y = 5[y + 2] + -1y Reorder the terms: -7 + 3y = 5[2 + y] + -1y -7 + 3y = [2 * 5 + y * 5] + -1y -7 + 3y = [10 + 5y] + -1y Combine like terms: 5y + -1y = 4y -7 + 3y = 10 + 4y Solving -7 + 3y = 10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -7 + 3y + -4y = 10 + 4y + -4y Combine like terms: 3y + -4y = -1y -7 + -1y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 -7 + -1y = 10 + 0 -7 + -1y = 10 Add '7' to each side of the equation. -7 + 7 + -1y = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 10 + 7 -1y = 10 + 7 Combine like terms: 10 + 7 = 17 -1y = 17 Divide each side by '-1'. y = -17 Simplifying y = -17
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