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Simplifying 3x + 2y + -18 = 3x + 8y + -48 Reorder the terms: -18 + 3x + 2y = 3x + 8y + -48 Reorder the terms: -18 + 3x + 2y = -48 + 3x + 8y Add '-3x' to each side of the equation. -18 + 3x + -3x + 2y = -48 + 3x + -3x + 8y Combine like terms: 3x + -3x = 0 -18 + 0 + 2y = -48 + 3x + -3x + 8y -18 + 2y = -48 + 3x + -3x + 8y Combine like terms: 3x + -3x = 0 -18 + 2y = -48 + 0 + 8y -18 + 2y = -48 + 8y Solving -18 + 2y = -48 + 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 + 2y + -8y = -48 + 8y + -8y Combine like terms: 2y + -8y = -6y -18 + -6y = -48 + 8y + -8y Combine like terms: 8y + -8y = 0 -18 + -6y = -48 + 0 -18 + -6y = -48 Add '18' to each side of the equation. -18 + 18 + -6y = -48 + 18 Combine like terms: -18 + 18 = 0 0 + -6y = -48 + 18 -6y = -48 + 18 Combine like terms: -48 + 18 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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