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Simplifying -61 + 19y + 7 = 6(4y + -3) + -6 Reorder the terms: -61 + 7 + 19y = 6(4y + -3) + -6 Combine like terms: -61 + 7 = -54 -54 + 19y = 6(4y + -3) + -6 Reorder the terms: -54 + 19y = 6(-3 + 4y) + -6 -54 + 19y = (-3 * 6 + 4y * 6) + -6 -54 + 19y = (-18 + 24y) + -6 Reorder the terms: -54 + 19y = -18 + -6 + 24y Combine like terms: -18 + -6 = -24 -54 + 19y = -24 + 24y Solving -54 + 19y = -24 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -54 + 19y + -24y = -24 + 24y + -24y Combine like terms: 19y + -24y = -5y -54 + -5y = -24 + 24y + -24y Combine like terms: 24y + -24y = 0 -54 + -5y = -24 + 0 -54 + -5y = -24 Add '54' to each side of the equation. -54 + 54 + -5y = -24 + 54 Combine like terms: -54 + 54 = 0 0 + -5y = -24 + 54 -5y = -24 + 54 Combine like terms: -24 + 54 = 30 -5y = 30 Divide each side by '-5'. y = -6 Simplifying y = -6
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