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Simplifying -35 + 10y + 6 = 4(3y + -4) + -5 Reorder the terms: -35 + 6 + 10y = 4(3y + -4) + -5 Combine like terms: -35 + 6 = -29 -29 + 10y = 4(3y + -4) + -5 Reorder the terms: -29 + 10y = 4(-4 + 3y) + -5 -29 + 10y = (-4 * 4 + 3y * 4) + -5 -29 + 10y = (-16 + 12y) + -5 Reorder the terms: -29 + 10y = -16 + -5 + 12y Combine like terms: -16 + -5 = -21 -29 + 10y = -21 + 12y Solving -29 + 10y = -21 + 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. -29 + 10y + -12y = -21 + 12y + -12y Combine like terms: 10y + -12y = -2y -29 + -2y = -21 + 12y + -12y Combine like terms: 12y + -12y = 0 -29 + -2y = -21 + 0 -29 + -2y = -21 Add '29' to each side of the equation. -29 + 29 + -2y = -21 + 29 Combine like terms: -29 + 29 = 0 0 + -2y = -21 + 29 -2y = -21 + 29 Combine like terms: -21 + 29 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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