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Simplifying -6(y + -3y) + 7 = -2(5y + -1y) + 6 + 19y Combine like terms: y + -3y = -2y -6(-2y) + 7 = -2(5y + -1y) + 6 + 19y Remove parenthesis around (-2y) -6 * -2y + 7 = -2(5y + -1y) + 6 + 19y Multiply -6 * -2 12y + 7 = -2(5y + -1y) + 6 + 19y Reorder the terms: 7 + 12y = -2(5y + -1y) + 6 + 19y Combine like terms: 5y + -1y = 4y 7 + 12y = -2(4y) + 6 + 19y Remove parenthesis around (4y) 7 + 12y = -2 * 4y + 6 + 19y Multiply -2 * 4 7 + 12y = -8y + 6 + 19y Reorder the terms: 7 + 12y = 6 + -8y + 19y Combine like terms: -8y + 19y = 11y 7 + 12y = 6 + 11y Solving 7 + 12y = 6 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 7 + 12y + -11y = 6 + 11y + -11y Combine like terms: 12y + -11y = 1y 7 + 1y = 6 + 11y + -11y Combine like terms: 11y + -11y = 0 7 + 1y = 6 + 0 7 + 1y = 6 Add '-7' to each side of the equation. 7 + -7 + 1y = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = 6 + -7 1y = 6 + -7 Combine like terms: 6 + -7 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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