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Simplifying 8y + 4(3 + y) = 3(y + -7) + 10y 8y + (3 * 4 + y * 4) = 3(y + -7) + 10y 8y + (12 + 4y) = 3(y + -7) + 10y Reorder the terms: 12 + 8y + 4y = 3(y + -7) + 10y Combine like terms: 8y + 4y = 12y 12 + 12y = 3(y + -7) + 10y Reorder the terms: 12 + 12y = 3(-7 + y) + 10y 12 + 12y = (-7 * 3 + y * 3) + 10y 12 + 12y = (-21 + 3y) + 10y Combine like terms: 3y + 10y = 13y 12 + 12y = -21 + 13y Solving 12 + 12y = -21 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 12 + 12y + -13y = -21 + 13y + -13y Combine like terms: 12y + -13y = -1y 12 + -1y = -21 + 13y + -13y Combine like terms: 13y + -13y = 0 12 + -1y = -21 + 0 12 + -1y = -21 Add '-12' to each side of the equation. 12 + -12 + -1y = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = -21 + -12 -1y = -21 + -12 Combine like terms: -21 + -12 = -33 -1y = -33 Divide each side by '-1'. y = 33 Simplifying y = 33
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