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Simplifying 6(7 + -3y) + 6(y + 1) = 12y + 48 (7 * 6 + -3y * 6) + 6(y + 1) = 12y + 48 (42 + -18y) + 6(y + 1) = 12y + 48 Reorder the terms: 42 + -18y + 6(1 + y) = 12y + 48 42 + -18y + (1 * 6 + y * 6) = 12y + 48 42 + -18y + (6 + 6y) = 12y + 48 Reorder the terms: 42 + 6 + -18y + 6y = 12y + 48 Combine like terms: 42 + 6 = 48 48 + -18y + 6y = 12y + 48 Combine like terms: -18y + 6y = -12y 48 + -12y = 12y + 48 Reorder the terms: 48 + -12y = 48 + 12y Add '-48' to each side of the equation. 48 + -48 + -12y = 48 + -48 + 12y Combine like terms: 48 + -48 = 0 0 + -12y = 48 + -48 + 12y -12y = 48 + -48 + 12y Combine like terms: 48 + -48 = 0 -12y = 0 + 12y -12y = 12y Solving -12y = 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -12y + -12y = 12y + -12y Combine like terms: -12y + -12y = -24y -24y = 12y + -12y Combine like terms: 12y + -12y = 0 -24y = 0 Divide each side by '-24'. y = 0 Simplifying y = 0
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