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Simplifying 3(y + -6) = 8(y + 3) + -7 Reorder the terms: 3(-6 + y) = 8(y + 3) + -7 (-6 * 3 + y * 3) = 8(y + 3) + -7 (-18 + 3y) = 8(y + 3) + -7 Reorder the terms: -18 + 3y = 8(3 + y) + -7 -18 + 3y = (3 * 8 + y * 8) + -7 -18 + 3y = (24 + 8y) + -7 Reorder the terms: -18 + 3y = 24 + -7 + 8y Combine like terms: 24 + -7 = 17 -18 + 3y = 17 + 8y Solving -18 + 3y = 17 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -18 + 3y + -8y = 17 + 8y + -8y Combine like terms: 3y + -8y = -5y -18 + -5y = 17 + 8y + -8y Combine like terms: 8y + -8y = 0 -18 + -5y = 17 + 0 -18 + -5y = 17 Add '18' to each side of the equation. -18 + 18 + -5y = 17 + 18 Combine like terms: -18 + 18 = 0 0 + -5y = 17 + 18 -5y = 17 + 18 Combine like terms: 17 + 18 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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