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Simplifying 12y + -42 = 2(4y + -5) Reorder the terms: -42 + 12y = 2(4y + -5) Reorder the terms: -42 + 12y = 2(-5 + 4y) -42 + 12y = (-5 * 2 + 4y * 2) -42 + 12y = (-10 + 8y) Solving -42 + 12y = -10 + 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. -42 + 12y + -8y = -10 + 8y + -8y Combine like terms: 12y + -8y = 4y -42 + 4y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 -42 + 4y = -10 + 0 -42 + 4y = -10 Add '42' to each side of the equation. -42 + 42 + 4y = -10 + 42 Combine like terms: -42 + 42 = 0 0 + 4y = -10 + 42 4y = -10 + 42 Combine like terms: -10 + 42 = 32 4y = 32 Divide each side by '4'. y = 8 Simplifying y = 8
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