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Simplifying 6y + -2(y + 1) = 3(y + -2) + 63 Reorder the terms: 6y + -2(1 + y) = 3(y + -2) + 63 6y + (1 * -2 + y * -2) = 3(y + -2) + 63 6y + (-2 + -2y) = 3(y + -2) + 63 Reorder the terms: -2 + 6y + -2y = 3(y + -2) + 63 Combine like terms: 6y + -2y = 4y -2 + 4y = 3(y + -2) + 63 Reorder the terms: -2 + 4y = 3(-2 + y) + 63 -2 + 4y = (-2 * 3 + y * 3) + 63 -2 + 4y = (-6 + 3y) + 63 Reorder the terms: -2 + 4y = -6 + 63 + 3y Combine like terms: -6 + 63 = 57 -2 + 4y = 57 + 3y Solving -2 + 4y = 57 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -2 + 4y + -3y = 57 + 3y + -3y Combine like terms: 4y + -3y = 1y -2 + 1y = 57 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + 1y = 57 + 0 -2 + 1y = 57 Add '2' to each side of the equation. -2 + 2 + 1y = 57 + 2 Combine like terms: -2 + 2 = 0 0 + 1y = 57 + 2 1y = 57 + 2 Combine like terms: 57 + 2 = 59 1y = 59 Divide each side by '1'. y = 59 Simplifying y = 59
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