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Simplifying 3(4y + -5) + 8 = 10y + 7 Reorder the terms: 3(-5 + 4y) + 8 = 10y + 7 (-5 * 3 + 4y * 3) + 8 = 10y + 7 (-15 + 12y) + 8 = 10y + 7 Reorder the terms: -15 + 8 + 12y = 10y + 7 Combine like terms: -15 + 8 = -7 -7 + 12y = 10y + 7 Reorder the terms: -7 + 12y = 7 + 10y Solving -7 + 12y = 7 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -7 + 12y + -10y = 7 + 10y + -10y Combine like terms: 12y + -10y = 2y -7 + 2y = 7 + 10y + -10y Combine like terms: 10y + -10y = 0 -7 + 2y = 7 + 0 -7 + 2y = 7 Add '7' to each side of the equation. -7 + 7 + 2y = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 7 + 7 2y = 7 + 7 Combine like terms: 7 + 7 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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