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Simplifying 2(4y + 2) + 15 = 4(3y + -5) + 20 Reorder the terms: 2(2 + 4y) + 15 = 4(3y + -5) + 20 (2 * 2 + 4y * 2) + 15 = 4(3y + -5) + 20 (4 + 8y) + 15 = 4(3y + -5) + 20 Reorder the terms: 4 + 15 + 8y = 4(3y + -5) + 20 Combine like terms: 4 + 15 = 19 19 + 8y = 4(3y + -5) + 20 Reorder the terms: 19 + 8y = 4(-5 + 3y) + 20 19 + 8y = (-5 * 4 + 3y * 4) + 20 19 + 8y = (-20 + 12y) + 20 Reorder the terms: 19 + 8y = -20 + 20 + 12y Combine like terms: -20 + 20 = 0 19 + 8y = 0 + 12y 19 + 8y = 12y Solving 19 + 8y = 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. 19 + 8y + -12y = 12y + -12y Combine like terms: 8y + -12y = -4y 19 + -4y = 12y + -12y Combine like terms: 12y + -12y = 0 19 + -4y = 0 Add '-19' to each side of the equation. 19 + -19 + -4y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4y = 0 + -19 -4y = 0 + -19 Combine like terms: 0 + -19 = -19 -4y = -19 Divide each side by '-4'. y = 4.75 Simplifying y = 4.75
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