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Simplifying 3(y + -6) + 5 = 7 + -1y Reorder the terms: 3(-6 + y) + 5 = 7 + -1y (-6 * 3 + y * 3) + 5 = 7 + -1y (-18 + 3y) + 5 = 7 + -1y Reorder the terms: -18 + 5 + 3y = 7 + -1y Combine like terms: -18 + 5 = -13 -13 + 3y = 7 + -1y Solving -13 + 3y = 7 + -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. -13 + 3y + y = 7 + -1y + y Combine like terms: 3y + y = 4y -13 + 4y = 7 + -1y + y Combine like terms: -1y + y = 0 -13 + 4y = 7 + 0 -13 + 4y = 7 Add '13' to each side of the equation. -13 + 13 + 4y = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 4y = 7 + 13 4y = 7 + 13 Combine like terms: 7 + 13 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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