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Simplifying -29 + 10y + 7 = 3(4y + -2) + -4 Reorder the terms: -29 + 7 + 10y = 3(4y + -2) + -4 Combine like terms: -29 + 7 = -22 -22 + 10y = 3(4y + -2) + -4 Reorder the terms: -22 + 10y = 3(-2 + 4y) + -4 -22 + 10y = (-2 * 3 + 4y * 3) + -4 -22 + 10y = (-6 + 12y) + -4 Reorder the terms: -22 + 10y = -6 + -4 + 12y Combine like terms: -6 + -4 = -10 -22 + 10y = -10 + 12y Solving -22 + 10y = -10 + 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. -22 + 10y + -12y = -10 + 12y + -12y Combine like terms: 10y + -12y = -2y -22 + -2y = -10 + 12y + -12y Combine like terms: 12y + -12y = 0 -22 + -2y = -10 + 0 -22 + -2y = -10 Add '22' to each side of the equation. -22 + 22 + -2y = -10 + 22 Combine like terms: -22 + 22 = 0 0 + -2y = -10 + 22 -2y = -10 + 22 Combine like terms: -10 + 22 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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