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Simplifying -19y + 6(4y + 19) = -18y + -18 + -10y Reorder the terms: -19y + 6(19 + 4y) = -18y + -18 + -10y -19y + (19 * 6 + 4y * 6) = -18y + -18 + -10y -19y + (114 + 24y) = -18y + -18 + -10y Reorder the terms: 114 + -19y + 24y = -18y + -18 + -10y Combine like terms: -19y + 24y = 5y 114 + 5y = -18y + -18 + -10y Reorder the terms: 114 + 5y = -18 + -18y + -10y Combine like terms: -18y + -10y = -28y 114 + 5y = -18 + -28y Solving 114 + 5y = -18 + -28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28y' to each side of the equation. 114 + 5y + 28y = -18 + -28y + 28y Combine like terms: 5y + 28y = 33y 114 + 33y = -18 + -28y + 28y Combine like terms: -28y + 28y = 0 114 + 33y = -18 + 0 114 + 33y = -18 Add '-114' to each side of the equation. 114 + -114 + 33y = -18 + -114 Combine like terms: 114 + -114 = 0 0 + 33y = -18 + -114 33y = -18 + -114 Combine like terms: -18 + -114 = -132 33y = -132 Divide each side by '33'. y = -4 Simplifying y = -4
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