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Simplifying 46 + 2 = 8y + -1(6y + -10) Combine like terms: 46 + 2 = 48 48 = 8y + -1(6y + -10) Reorder the terms: 48 = 8y + -1(-10 + 6y) 48 = 8y + (-10 * -1 + 6y * -1) 48 = 8y + (10 + -6y) Reorder the terms: 48 = 10 + 8y + -6y Combine like terms: 8y + -6y = 2y 48 = 10 + 2y Solving 48 = 10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 48 + -2y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 48 + -2y = 10 + 0 48 + -2y = 10 Add '-48' to each side of the equation. 48 + -48 + -2y = 10 + -48 Combine like terms: 48 + -48 = 0 0 + -2y = 10 + -48 -2y = 10 + -48 Combine like terms: 10 + -48 = -38 -2y = -38 Divide each side by '-2'. y = 19 Simplifying y = 19
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