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Simplifying 6y + -20 + -1y = 19 + -3(-12y + -18) Reorder the terms: -20 + 6y + -1y = 19 + -3(-12y + -18) Combine like terms: 6y + -1y = 5y -20 + 5y = 19 + -3(-12y + -18) Reorder the terms: -20 + 5y = 19 + -3(-18 + -12y) -20 + 5y = 19 + (-18 * -3 + -12y * -3) -20 + 5y = 19 + (54 + 36y) Combine like terms: 19 + 54 = 73 -20 + 5y = 73 + 36y Solving -20 + 5y = 73 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. -20 + 5y + -36y = 73 + 36y + -36y Combine like terms: 5y + -36y = -31y -20 + -31y = 73 + 36y + -36y Combine like terms: 36y + -36y = 0 -20 + -31y = 73 + 0 -20 + -31y = 73 Add '20' to each side of the equation. -20 + 20 + -31y = 73 + 20 Combine like terms: -20 + 20 = 0 0 + -31y = 73 + 20 -31y = 73 + 20 Combine like terms: 73 + 20 = 93 -31y = 93 Divide each side by '-31'. y = -3 Simplifying y = -3
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