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Simplifying 4y + 2 = 6(8y + -7) Reorder the terms: 2 + 4y = 6(8y + -7) Reorder the terms: 2 + 4y = 6(-7 + 8y) 2 + 4y = (-7 * 6 + 8y * 6) 2 + 4y = (-42 + 48y) Solving 2 + 4y = -42 + 48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48y' to each side of the equation. 2 + 4y + -48y = -42 + 48y + -48y Combine like terms: 4y + -48y = -44y 2 + -44y = -42 + 48y + -48y Combine like terms: 48y + -48y = 0 2 + -44y = -42 + 0 2 + -44y = -42 Add '-2' to each side of the equation. 2 + -2 + -44y = -42 + -2 Combine like terms: 2 + -2 = 0 0 + -44y = -42 + -2 -44y = -42 + -2 Combine like terms: -42 + -2 = -44 -44y = -44 Divide each side by '-44'. y = 1 Simplifying y = 1
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