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Simplifying 5(2y + -4) + 13 = 3(4y + -2) + -22 Reorder the terms: 5(-4 + 2y) + 13 = 3(4y + -2) + -22 (-4 * 5 + 2y * 5) + 13 = 3(4y + -2) + -22 (-20 + 10y) + 13 = 3(4y + -2) + -22 Reorder the terms: -20 + 13 + 10y = 3(4y + -2) + -22 Combine like terms: -20 + 13 = -7 -7 + 10y = 3(4y + -2) + -22 Reorder the terms: -7 + 10y = 3(-2 + 4y) + -22 -7 + 10y = (-2 * 3 + 4y * 3) + -22 -7 + 10y = (-6 + 12y) + -22 Reorder the terms: -7 + 10y = -6 + -22 + 12y Combine like terms: -6 + -22 = -28 -7 + 10y = -28 + 12y Solving -7 + 10y = -28 + 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. -7 + 10y + -12y = -28 + 12y + -12y Combine like terms: 10y + -12y = -2y -7 + -2y = -28 + 12y + -12y Combine like terms: 12y + -12y = 0 -7 + -2y = -28 + 0 -7 + -2y = -28 Add '7' to each side of the equation. -7 + 7 + -2y = -28 + 7 Combine like terms: -7 + 7 = 0 0 + -2y = -28 + 7 -2y = -28 + 7 Combine like terms: -28 + 7 = -21 -2y = -21 Divide each side by '-2'. y = 10.5 Simplifying y = 10.5
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