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Simplifying 3y + 7 + -7 + -8 = 2y + 3 + -3y + 13.5 Reorder the terms: 7 + -7 + -8 + 3y = 2y + 3 + -3y + 13.5 Combine like terms: 7 + -7 = 0 0 + -8 + 3y = 2y + 3 + -3y + 13.5 -8 + 3y = 2y + 3 + -3y + 13.5 Reorder the terms: -8 + 3y = 3 + 13.5 + 2y + -3y Combine like terms: 3 + 13.5 = 16.5 -8 + 3y = 16.5 + 2y + -3y Combine like terms: 2y + -3y = -1y -8 + 3y = 16.5 + -1y Solving -8 + 3y = 16.5 + -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. -8 + 3y + y = 16.5 + -1y + y Combine like terms: 3y + y = 4y -8 + 4y = 16.5 + -1y + y Combine like terms: -1y + y = 0 -8 + 4y = 16.5 + 0 -8 + 4y = 16.5 Add '8' to each side of the equation. -8 + 8 + 4y = 16.5 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = 16.5 + 8 4y = 16.5 + 8 Combine like terms: 16.5 + 8 = 24.5 4y = 24.5 Divide each side by '4'. y = 6.125 Simplifying y = 6.125
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